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Finding the Fourth Proportional to 18,634.66, 27,928.12 and 9,149.14

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Solution

The fourth proportional to 18,634.66, 27,928.12 and 9,149.14 is: 13,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,634.66 : 27,928.12 = 9,149.14 : x
  2. Step 2: Convert to fraction form
    18,634.66/27,928.12 = 9,149.14/x
  3. Step 3: Cross multiply
    18,634.66x = 27,928.12 × 9,149.14
  4. Step 4: Simplify right side
    18,634.66x = 255,518,279.82
  5. Step 5: Solve for x
    x = 255,518,279.82/18,634.66
  6. Step 6: Final answer
    x = 13,711.99

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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.