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Finding the Fourth Proportional to 10,487.75, 15,724.33 and 3,912.17

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Solution

The fourth proportional to 10,487.75, 15,724.33 and 3,912.17 is: 5,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.75 : 15,724.33 = 3,912.17 : x
  2. Step 2: Convert to fraction form
    10,487.75/15,724.33 = 3,912.17/x
  3. Step 3: Cross multiply
    10,487.75x = 15,724.33 × 3,912.17
  4. Step 4: Simplify right side
    10,487.75x = 61,516,163.69
  5. Step 5: Solve for x
    x = 61,516,163.69/10,487.75
  6. Step 6: Final answer
    x = 5,865.53

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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.