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Finding the Fourth Proportional to 18,288.64, 27,437.82 and 5,809

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Solution

The fourth proportional to 18,288.64, 27,437.82 and 5,809 is: 8,715.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.64 : 27,437.82 = 5,809 : x
  2. Step 2: Convert to fraction form
    18,288.64/27,437.82 = 5,809/x
  3. Step 3: Cross multiply
    18,288.64x = 27,437.82 × 5,809
  4. Step 4: Simplify right side
    18,288.64x = 159,386,296.38
  5. Step 5: Solve for x
    x = 159,386,296.38/18,288.64
  6. Step 6: Final answer
    x = 8,715.04

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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.