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Finding the Fourth Proportional to 8,674.60, 13,007.10 and 3,743.40

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Solution

The fourth proportional to 8,674.60, 13,007.10 and 3,743.40 is: 5,613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.60 : 13,007.10 = 3,743.40 : x
  2. Step 2: Convert to fraction form
    8,674.60/13,007.10 = 3,743.40/x
  3. Step 3: Cross multiply
    8,674.60x = 13,007.10 × 3,743.40
  4. Step 4: Simplify right side
    8,674.60x = 48,690,778.14
  5. Step 5: Solve for x
    x = 48,690,778.14/8,674.60
  6. Step 6: Final answer
    x = 5,613.03

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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.