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Finding the Fourth Proportional to 31,861.71, 47,764.62 and 12,127.14

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Solution

The fourth proportional to 31,861.71, 47,764.62 and 12,127.14 is: 18,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.71 : 47,764.62 = 12,127.14 : x
  2. Step 2: Convert to fraction form
    31,861.71/47,764.62 = 12,127.14/x
  3. Step 3: Cross multiply
    31,861.71x = 47,764.62 × 12,127.14
  4. Step 4: Simplify right side
    31,861.71x = 579,248,233.79
  5. Step 5: Solve for x
    x = 579,248,233.79/31,861.71
  6. Step 6: Final answer
    x = 18,180.07

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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.