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Finding the Fourth Proportional to 8,561.70, 11,809.68 and 5,540.76

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Solution

The fourth proportional to 8,561.70, 11,809.68 and 5,540.76 is: 7,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.70 : 11,809.68 = 5,540.76 : x
  2. Step 2: Convert to fraction form
    8,561.70/11,809.68 = 5,540.76/x
  3. Step 3: Cross multiply
    8,561.70x = 11,809.68 × 5,540.76
  4. Step 4: Simplify right side
    8,561.70x = 65,434,602.56
  5. Step 5: Solve for x
    x = 65,434,602.56/8,561.70
  6. Step 6: Final answer
    x = 7,642.71

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Half scale
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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.