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Finding the Fourth Proportional to 18,032, 27,053.76 and 5,720

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Solution

The fourth proportional to 18,032, 27,053.76 and 5,720 is: 8,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032 : 27,053.76 = 5,720 : x
  2. Step 2: Convert to fraction form
    18,032/27,053.76 = 5,720/x
  3. Step 3: Cross multiply
    18,032x = 27,053.76 × 5,720
  4. Step 4: Simplify right side
    18,032x = 154,747,507.20
  5. Step 5: Solve for x
    x = 154,747,507.20/18,032
  6. Step 6: Final answer
    x = 8,581.83

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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.