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Finding the Fourth Proportional to 18,524, 27,781.76 and 5,373.44

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Solution

The fourth proportional to 18,524, 27,781.76 and 5,373.44 is: 8,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524 : 27,781.76 = 5,373.44 : x
  2. Step 2: Convert to fraction form
    18,524/27,781.76 = 5,373.44/x
  3. Step 3: Cross multiply
    18,524x = 27,781.76 × 5,373.44
  4. Step 4: Simplify right side
    18,524x = 149,283,620.45
  5. Step 5: Solve for x
    x = 149,283,620.45/18,524
  6. Step 6: Final answer
    x = 8,058.93

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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.