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Finding the Fourth Proportional to 6,613.60, 9,126 and 3,960.64

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Solution

The fourth proportional to 6,613.60, 9,126 and 3,960.64 is: 5,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.60 : 9,126 = 3,960.64 : x
  2. Step 2: Convert to fraction form
    6,613.60/9,126 = 3,960.64/x
  3. Step 3: Cross multiply
    6,613.60x = 9,126 × 3,960.64
  4. Step 4: Simplify right side
    6,613.60x = 36,144,800.64
  5. Step 5: Solve for x
    x = 36,144,800.64/6,613.60
  6. Step 6: Final answer
    x = 5,465.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.