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Finding the Fourth Proportional to 31,864.68, 47,793.92 and 9,678.24

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Solution

The fourth proportional to 31,864.68, 47,793.92 and 9,678.24 is: 14,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.68 : 47,793.92 = 9,678.24 : x
  2. Step 2: Convert to fraction form
    31,864.68/47,793.92 = 9,678.24/x
  3. Step 3: Cross multiply
    31,864.68x = 47,793.92 × 9,678.24
  4. Step 4: Simplify right side
    31,864.68x = 462,560,979.91
  5. Step 5: Solve for x
    x = 462,560,979.91/31,864.68
  6. Step 6: Final answer
    x = 14,516.42

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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.