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Finding the Fourth Proportional to 54,891.36, 82,337.04 and 13,338

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Solution

The fourth proportional to 54,891.36, 82,337.04 and 13,338 is: 20,007

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891.36 : 82,337.04 = 13,338 : x
  2. Step 2: Convert to fraction form
    54,891.36/82,337.04 = 13,338/x
  3. Step 3: Cross multiply
    54,891.36x = 82,337.04 × 13,338
  4. Step 4: Simplify right side
    54,891.36x = 1,098,211,439.52
  5. Step 5: Solve for x
    x = 1,098,211,439.52/54,891.36
  6. Step 6: Final answer
    x = 20,007

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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.