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Finding the Fourth Proportional to 8,670.87, 13,007.70 and 3,742.02

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Solution

The fourth proportional to 8,670.87, 13,007.70 and 3,742.02 is: 5,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.87 : 13,007.70 = 3,742.02 : x
  2. Step 2: Convert to fraction form
    8,670.87/13,007.70 = 3,742.02/x
  3. Step 3: Cross multiply
    8,670.87x = 13,007.70 × 3,742.02
  4. Step 4: Simplify right side
    8,670.87x = 48,675,073.55
  5. Step 5: Solve for x
    x = 48,675,073.55/8,670.87
  6. Step 6: Final answer
    x = 5,613.63

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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.