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Finding the Fourth Proportional to 15,662, 23,487.99 and 5,129.17

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Solution

The fourth proportional to 15,662, 23,487.99 and 5,129.17 is: 7,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662 : 23,487.99 = 5,129.17 : x
  2. Step 2: Convert to fraction form
    15,662/23,487.99 = 5,129.17/x
  3. Step 3: Cross multiply
    15,662x = 23,487.99 × 5,129.17
  4. Step 4: Simplify right side
    15,662x = 120,473,893.67
  5. Step 5: Solve for x
    x = 120,473,893.67/15,662
  6. Step 6: Final answer
    x = 7,692.11

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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.