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Finding the Fourth Proportional to 6,381.64, 9,581.51 and 3,613.74

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Solution

The fourth proportional to 6,381.64, 9,581.51 and 3,613.74 is: 5,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.64 : 9,581.51 = 3,613.74 : x
  2. Step 2: Convert to fraction form
    6,381.64/9,581.51 = 3,613.74/x
  3. Step 3: Cross multiply
    6,381.64x = 9,581.51 × 3,613.74
  4. Step 4: Simplify right side
    6,381.64x = 34,625,085.95
  5. Step 5: Solve for x
    x = 34,625,085.95/6,381.64
  6. Step 6: Final answer
    x = 5,425.73

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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.