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Finding the Fourth Proportional to 54,753.04, 82,129.56 and 21,898

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Solution

The fourth proportional to 54,753.04, 82,129.56 and 21,898 is: 32,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,753.04 : 82,129.56 = 21,898 : x
  2. Step 2: Convert to fraction form
    54,753.04/82,129.56 = 21,898/x
  3. Step 3: Cross multiply
    54,753.04x = 82,129.56 × 21,898
  4. Step 4: Simplify right side
    54,753.04x = 1,798,473,104.88
  5. Step 5: Solve for x
    x = 1,798,473,104.88/54,753.04
  6. Step 6: Final answer
    x = 32,847

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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.