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Finding the Fourth Proportional to 18,407.55, 27,584.87 and 7,874.71

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Solution

The fourth proportional to 18,407.55, 27,584.87 and 7,874.71 is: 11,800.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407.55 : 27,584.87 = 7,874.71 : x
  2. Step 2: Convert to fraction form
    18,407.55/27,584.87 = 7,874.71/x
  3. Step 3: Cross multiply
    18,407.55x = 27,584.87 × 7,874.71
  4. Step 4: Simplify right side
    18,407.55x = 217,222,851.64
  5. Step 5: Solve for x
    x = 217,222,851.64/18,407.55
  6. Step 6: Final answer
    x = 11,800.75

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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.