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Finding the Fourth Proportional to 18,414, 27,618.48 and 5,267.52

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Solution

The fourth proportional to 18,414, 27,618.48 and 5,267.52 is: 7,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 27,618.48 = 5,267.52 : x
  2. Step 2: Convert to fraction form
    18,414/27,618.48 = 5,267.52/x
  3. Step 3: Cross multiply
    18,414x = 27,618.48 × 5,267.52
  4. Step 4: Simplify right side
    18,414x = 145,480,895.77
  5. Step 5: Solve for x
    x = 145,480,895.77/18,414
  6. Step 6: Final answer
    x = 7,900.56

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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.