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Finding the Fourth Proportional to 8,769.68, 12,086.52 and 6,640.13

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Solution

The fourth proportional to 8,769.68, 12,086.52 and 6,640.13 is: 9,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.68 : 12,086.52 = 6,640.13 : x
  2. Step 2: Convert to fraction form
    8,769.68/12,086.52 = 6,640.13/x
  3. Step 3: Cross multiply
    8,769.68x = 12,086.52 × 6,640.13
  4. Step 4: Simplify right side
    8,769.68x = 80,256,003.62
  5. Step 5: Solve for x
    x = 80,256,003.62/8,769.68
  6. Step 6: Final answer
    x = 9,151.54

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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.