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Finding the Fourth Proportional to 31,432, 47,148.54 and 10,656.04

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Solution

The fourth proportional to 31,432, 47,148.54 and 10,656.04 is: 15,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432 : 47,148.54 = 10,656.04 : x
  2. Step 2: Convert to fraction form
    31,432/47,148.54 = 10,656.04/x
  3. Step 3: Cross multiply
    31,432x = 47,148.54 × 10,656.04
  4. Step 4: Simplify right side
    31,432x = 502,416,728.18
  5. Step 5: Solve for x
    x = 502,416,728.18/31,432
  6. Step 6: Final answer
    x = 15,984.24

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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.