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Finding the Fourth Proportional to 18,612, 27,915.84 and 4,761.12

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Solution

The fourth proportional to 18,612, 27,915.84 and 4,761.12 is: 7,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612 : 27,915.84 = 4,761.12 : x
  2. Step 2: Convert to fraction form
    18,612/27,915.84 = 4,761.12/x
  3. Step 3: Cross multiply
    18,612x = 27,915.84 × 4,761.12
  4. Step 4: Simplify right side
    18,612x = 132,910,664.14
  5. Step 5: Solve for x
    x = 132,910,664.14/18,612
  6. Step 6: Final answer
    x = 7,141.13

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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.