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Finding the Fourth Proportional to 7,805.40, 11,708.10 and 7,270.80

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Solution

The fourth proportional to 7,805.40, 11,708.10 and 7,270.80 is: 10,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.40 : 11,708.10 = 7,270.80 : x
  2. Step 2: Convert to fraction form
    7,805.40/11,708.10 = 7,270.80/x
  3. Step 3: Cross multiply
    7,805.40x = 11,708.10 × 7,270.80
  4. Step 4: Simplify right side
    7,805.40x = 85,127,253.48
  5. Step 5: Solve for x
    x = 85,127,253.48/7,805.40
  6. Step 6: Final answer
    x = 10,906.20

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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.