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Finding the Fourth Proportional to 18,656.10, 27,966.56 and 9,287.25

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Solution

The fourth proportional to 18,656.10, 27,966.56 and 9,287.25 is: 13,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.10 : 27,966.56 = 9,287.25 : x
  2. Step 2: Convert to fraction form
    18,656.10/27,966.56 = 9,287.25/x
  3. Step 3: Cross multiply
    18,656.10x = 27,966.56 × 9,287.25
  4. Step 4: Simplify right side
    18,656.10x = 259,732,387.92
  5. Step 5: Solve for x
    x = 259,732,387.92/18,656.10
  6. Step 6: Final answer
    x = 13,922.12

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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.