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Finding the Fourth Proportional to 8,371.96, 12,551.25 and 4,209.82

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Solution

The fourth proportional to 8,371.96, 12,551.25 and 4,209.82 is: 6,311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.96 : 12,551.25 = 4,209.82 : x
  2. Step 2: Convert to fraction form
    8,371.96/12,551.25 = 4,209.82/x
  3. Step 3: Cross multiply
    8,371.96x = 12,551.25 × 4,209.82
  4. Step 4: Simplify right side
    8,371.96x = 52,838,558.28
  5. Step 5: Solve for x
    x = 52,838,558.28/8,371.96
  6. Step 6: Final answer
    x = 6,311.37

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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.