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Finding the Fourth Proportional to 31,655.92, 47,483.76 and 12,931.92

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Solution

The fourth proportional to 31,655.92, 47,483.76 and 12,931.92 is: 19,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.92 : 47,483.76 = 12,931.92 : x
  2. Step 2: Convert to fraction form
    31,655.92/47,483.76 = 12,931.92/x
  3. Step 3: Cross multiply
    31,655.92x = 47,483.76 × 12,931.92
  4. Step 4: Simplify right side
    31,655.92x = 614,056,185.62
  5. Step 5: Solve for x
    x = 614,056,185.62/31,655.92
  6. Step 6: Final answer
    x = 19,397.83

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1.5x scale

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.