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Finding the Fourth Proportional to 31,497.40, 47,212.80 and 10,432

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Solution

The fourth proportional to 31,497.40, 47,212.80 and 10,432 is: 15,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,497.40 : 47,212.80 = 10,432 : x
  2. Step 2: Convert to fraction form
    31,497.40/47,212.80 = 10,432/x
  3. Step 3: Cross multiply
    31,497.40x = 47,212.80 × 10,432
  4. Step 4: Simplify right side
    31,497.40x = 492,523,929.60
  5. Step 5: Solve for x
    x = 492,523,929.60/31,497.40
  6. Step 6: Final answer
    x = 15,636.97

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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.