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Finding the Fourth Proportional to 20,773.50, 31,160.25 and 8,461.50

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Solution

The fourth proportional to 20,773.50, 31,160.25 and 8,461.50 is: 12,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.50 : 31,160.25 = 8,461.50 : x
  2. Step 2: Convert to fraction form
    20,773.50/31,160.25 = 8,461.50/x
  3. Step 3: Cross multiply
    20,773.50x = 31,160.25 × 8,461.50
  4. Step 4: Simplify right side
    20,773.50x = 263,662,455.38
  5. Step 5: Solve for x
    x = 263,662,455.38/20,773.50
  6. Step 6: Final answer
    x = 12,692.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.