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Finding the Fourth Proportional to 6,397.96, 9,613.16 and 6,138.76

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Solution

The fourth proportional to 6,397.96, 9,613.16 and 6,138.76 is: 9,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.96 : 9,613.16 = 6,138.76 : x
  2. Step 2: Convert to fraction form
    6,397.96/9,613.16 = 6,138.76/x
  3. Step 3: Cross multiply
    6,397.96x = 9,613.16 × 6,138.76
  4. Step 4: Simplify right side
    6,397.96x = 59,012,882.08
  5. Step 5: Solve for x
    x = 59,012,882.08/6,397.96
  6. Step 6: Final answer
    x = 9,223.70

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1.5x scale

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.