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Finding the Fourth Proportional to 31,489.92, 47,204.16 and 13,964.16

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Solution

The fourth proportional to 31,489.92, 47,204.16 and 13,964.16 is: 20,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,489.92 : 47,204.16 = 13,964.16 : x
  2. Step 2: Convert to fraction form
    31,489.92/47,204.16 = 13,964.16/x
  3. Step 3: Cross multiply
    31,489.92x = 47,204.16 × 13,964.16
  4. Step 4: Simplify right side
    31,489.92x = 659,166,442.91
  5. Step 5: Solve for x
    x = 659,166,442.91/31,489.92
  6. Step 6: Final answer
    x = 20,932.62

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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.