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Finding the Fourth Proportional to 18,462.39, 27,689.53 and 5,311.90

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Solution

The fourth proportional to 18,462.39, 27,689.53 and 5,311.90 is: 7,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,462.39 : 27,689.53 = 5,311.90 : x
  2. Step 2: Convert to fraction form
    18,462.39/27,689.53 = 5,311.90/x
  3. Step 3: Cross multiply
    18,462.39x = 27,689.53 × 5,311.90
  4. Step 4: Simplify right side
    18,462.39x = 147,084,014.41
  5. Step 5: Solve for x
    x = 147,084,014.41/18,462.39
  6. Step 6: Final answer
    x = 7,966.68

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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.