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Finding the Fourth Proportional to 31,471.80, 47,207.24 and 12,751.68

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Solution

The fourth proportional to 31,471.80, 47,207.24 and 12,751.68 is: 19,127.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.80 : 47,207.24 = 12,751.68 : x
  2. Step 2: Convert to fraction form
    31,471.80/47,207.24 = 12,751.68/x
  3. Step 3: Cross multiply
    31,471.80x = 47,207.24 × 12,751.68
  4. Step 4: Simplify right side
    31,471.80x = 601,971,618.16
  5. Step 5: Solve for x
    x = 601,971,618.16/31,471.80
  6. Step 6: Final answer
    x = 19,127.33

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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.