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Finding the Fourth Proportional to 18,472.48, 27,712.84 and 7,384.38

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Solution

The fourth proportional to 18,472.48, 27,712.84 and 7,384.38 is: 11,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.48 : 27,712.84 = 7,384.38 : x
  2. Step 2: Convert to fraction form
    18,472.48/27,712.84 = 7,384.38/x
  3. Step 3: Cross multiply
    18,472.48x = 27,712.84 × 7,384.38
  4. Step 4: Simplify right side
    18,472.48x = 204,642,141.44
  5. Step 5: Solve for x
    x = 204,642,141.44/18,472.48
  6. Step 6: Final answer
    x = 11,078.22

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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.