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Finding the Fourth Proportional to 31,983.17, 47,974.76 and 8,609

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Solution

The fourth proportional to 31,983.17, 47,974.76 and 8,609 is: 12,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,983.17 : 47,974.76 = 8,609 : x
  2. Step 2: Convert to fraction form
    31,983.17/47,974.76 = 8,609/x
  3. Step 3: Cross multiply
    31,983.17x = 47,974.76 × 8,609
  4. Step 4: Simplify right side
    31,983.17x = 413,014,665.80
  5. Step 5: Solve for x
    x = 413,014,665.80/31,983.17
  6. Step 6: Final answer
    x = 12,913.50

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Similar ratio
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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.