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Finding the Fourth Proportional to 31,854.70, 47,769.90 and 9,660.70

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Solution

The fourth proportional to 31,854.70, 47,769.90 and 9,660.70 is: 14,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.70 : 47,769.90 = 9,660.70 : x
  2. Step 2: Convert to fraction form
    31,854.70/47,769.90 = 9,660.70/x
  3. Step 3: Cross multiply
    31,854.70x = 47,769.90 × 9,660.70
  4. Step 4: Simplify right side
    31,854.70x = 461,490,672.93
  5. Step 5: Solve for x
    x = 461,490,672.93/31,854.70
  6. Step 6: Final answer
    x = 14,487.37

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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.