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Finding the Fourth Proportional to 21,151.84, 31,732.20 and 8,003.92

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Solution

The fourth proportional to 21,151.84, 31,732.20 and 8,003.92 is: 12,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.84 : 31,732.20 = 8,003.92 : x
  2. Step 2: Convert to fraction form
    21,151.84/31,732.20 = 8,003.92/x
  3. Step 3: Cross multiply
    21,151.84x = 31,732.20 × 8,003.92
  4. Step 4: Simplify right side
    21,151.84x = 253,981,990.22
  5. Step 5: Solve for x
    x = 253,981,990.22/21,151.84
  6. Step 6: Final answer
    x = 12,007.56

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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.