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Finding the Fourth Proportional to 8,371.62, 12,559.38 and 2,824.86

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Solution

The fourth proportional to 8,371.62, 12,559.38 and 2,824.86 is: 4,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.62 : 12,559.38 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    8,371.62/12,559.38 = 2,824.86/x
  3. Step 3: Cross multiply
    8,371.62x = 12,559.38 × 2,824.86
  4. Step 4: Simplify right side
    8,371.62x = 35,478,490.19
  5. Step 5: Solve for x
    x = 35,478,490.19/8,371.62
  6. Step 6: Final answer
    x = 4,237.95

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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.