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Finding the Fourth Proportional to 18,452.25, 27,686.49 and 9,685.14

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Solution

The fourth proportional to 18,452.25, 27,686.49 and 9,685.14 is: 14,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,452.25 : 27,686.49 = 9,685.14 : x
  2. Step 2: Convert to fraction form
    18,452.25/27,686.49 = 9,685.14/x
  3. Step 3: Cross multiply
    18,452.25x = 27,686.49 × 9,685.14
  4. Step 4: Simplify right side
    18,452.25x = 268,147,531.76
  5. Step 5: Solve for x
    x = 268,147,531.76/18,452.25
  6. Step 6: Final answer
    x = 14,531.97

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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.