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Finding the Fourth Proportional to 15,719.41, 21,692.88 and 8,549.41

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Solution

The fourth proportional to 15,719.41, 21,692.88 and 8,549.41 is: 11,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.41 : 21,692.88 = 8,549.41 : x
  2. Step 2: Convert to fraction form
    15,719.41/21,692.88 = 8,549.41/x
  3. Step 3: Cross multiply
    15,719.41x = 21,692.88 × 8,549.41
  4. Step 4: Simplify right side
    15,719.41x = 185,461,325.20
  5. Step 5: Solve for x
    x = 185,461,325.20/15,719.41
  6. Step 6: Final answer
    x = 11,798.24

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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.