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Finding the Fourth Proportional to 7,412.32, 10,232.70 and 5,729.92

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Solution

The fourth proportional to 7,412.32, 10,232.70 and 5,729.92 is: 7,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,412.32 : 10,232.70 = 5,729.92 : x
  2. Step 2: Convert to fraction form
    7,412.32/10,232.70 = 5,729.92/x
  3. Step 3: Cross multiply
    7,412.32x = 10,232.70 × 5,729.92
  4. Step 4: Simplify right side
    7,412.32x = 58,632,552.38
  5. Step 5: Solve for x
    x = 58,632,552.38/7,412.32
  6. Step 6: Final answer
    x = 7,910.15

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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.