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Finding the Fourth Proportional to 7,707.80, 11,561.70 and 7,105.92

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Solution

The fourth proportional to 7,707.80, 11,561.70 and 7,105.92 is: 10,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.80 : 11,561.70 = 7,105.92 : x
  2. Step 2: Convert to fraction form
    7,707.80/11,561.70 = 7,105.92/x
  3. Step 3: Cross multiply
    7,707.80x = 11,561.70 × 7,105.92
  4. Step 4: Simplify right side
    7,707.80x = 82,156,515.26
  5. Step 5: Solve for x
    x = 82,156,515.26/7,707.80
  6. Step 6: Final answer
    x = 10,658.88

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Double scale
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Similar ratio
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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.