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Finding the Fourth Proportional to 27,999, 42,005.04 and 9,531

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Solution

The fourth proportional to 27,999, 42,005.04 and 9,531 is: 14,298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999 : 42,005.04 = 9,531 : x
  2. Step 2: Convert to fraction form
    27,999/42,005.04 = 9,531/x
  3. Step 3: Cross multiply
    27,999x = 42,005.04 × 9,531
  4. Step 4: Simplify right side
    27,999x = 400,350,036.24
  5. Step 5: Solve for x
    x = 400,350,036.24/27,999
  6. Step 6: Final answer
    x = 14,298.73

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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.