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Finding the Fourth Proportional to 31,898.70, 47,849.94 and 9,712.80

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Solution

The fourth proportional to 31,898.70, 47,849.94 and 9,712.80 is: 14,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898.70 : 47,849.94 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    31,898.70/47,849.94 = 9,712.80/x
  3. Step 3: Cross multiply
    31,898.70x = 47,849.94 × 9,712.80
  4. Step 4: Simplify right side
    31,898.70x = 464,756,897.23
  5. Step 5: Solve for x
    x = 464,756,897.23/31,898.70
  6. Step 6: Final answer
    x = 14,569.78

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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.