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Finding the Fourth Proportional to 18,126.64, 27,194.55 and 5,646.97

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Solution

The fourth proportional to 18,126.64, 27,194.55 and 5,646.97 is: 8,471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,126.64 : 27,194.55 = 5,646.97 : x
  2. Step 2: Convert to fraction form
    18,126.64/27,194.55 = 5,646.97/x
  3. Step 3: Cross multiply
    18,126.64x = 27,194.55 × 5,646.97
  4. Step 4: Simplify right side
    18,126.64x = 153,566,808.01
  5. Step 5: Solve for x
    x = 153,566,808.01/18,126.64
  6. Step 6: Final answer
    x = 8,471.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.