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Finding the Fourth Proportional to 18,382.92, 27,539.56 and 10,864

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Solution

The fourth proportional to 18,382.92, 27,539.56 and 10,864 is: 16,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.92 : 27,539.56 = 10,864 : x
  2. Step 2: Convert to fraction form
    18,382.92/27,539.56 = 10,864/x
  3. Step 3: Cross multiply
    18,382.92x = 27,539.56 × 10,864
  4. Step 4: Simplify right side
    18,382.92x = 299,189,779.84
  5. Step 5: Solve for x
    x = 299,189,779.84/18,382.92
  6. Step 6: Final answer
    x = 16,275.42

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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.