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Finding the Fourth Proportional to 8,613.76, 11,891.84 and 5,632.62

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Solution

The fourth proportional to 8,613.76, 11,891.84 and 5,632.62 is: 7,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,613.76 : 11,891.84 = 5,632.62 : x
  2. Step 2: Convert to fraction form
    8,613.76/11,891.84 = 5,632.62/x
  3. Step 3: Cross multiply
    8,613.76x = 11,891.84 × 5,632.62
  4. Step 4: Simplify right side
    8,613.76x = 66,982,215.82
  5. Step 5: Solve for x
    x = 66,982,215.82/8,613.76
  6. Step 6: Final answer
    x = 7,776.19

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1.5x scale

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.