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Finding the Fourth Proportional to 8,269.76, 12,405 and 2,347.04

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Solution

The fourth proportional to 8,269.76, 12,405 and 2,347.04 is: 3,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.76 : 12,405 = 2,347.04 : x
  2. Step 2: Convert to fraction form
    8,269.76/12,405 = 2,347.04/x
  3. Step 3: Cross multiply
    8,269.76x = 12,405 × 2,347.04
  4. Step 4: Simplify right side
    8,269.76x = 29,115,031.20
  5. Step 5: Solve for x
    x = 29,115,031.20/8,269.76
  6. Step 6: Final answer
    x = 3,520.66

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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.