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Finding the Fourth Proportional to 22,692.38, 31,310.87 and 13,259.12

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Solution

The fourth proportional to 22,692.38, 31,310.87 and 13,259.12 is: 18,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.38 : 31,310.87 = 13,259.12 : x
  2. Step 2: Convert to fraction form
    22,692.38/31,310.87 = 13,259.12/x
  3. Step 3: Cross multiply
    22,692.38x = 31,310.87 × 13,259.12
  4. Step 4: Simplify right side
    22,692.38x = 415,154,359.78
  5. Step 5: Solve for x
    x = 415,154,359.78/22,692.38
  6. Step 6: Final answer
    x = 18,294.88

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.