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Finding the Fourth Proportional to 8,364.24, 12,539.88 and 3,744

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Solution

The fourth proportional to 8,364.24, 12,539.88 and 3,744 is: 5,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.24 : 12,539.88 = 3,744 : x
  2. Step 2: Convert to fraction form
    8,364.24/12,539.88 = 3,744/x
  3. Step 3: Cross multiply
    8,364.24x = 12,539.88 × 3,744
  4. Step 4: Simplify right side
    8,364.24x = 46,949,310.72
  5. Step 5: Solve for x
    x = 46,949,310.72/8,364.24
  6. Step 6: Final answer
    x = 5,613.10

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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.