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Finding the Fourth Proportional to 7,805.70, 11,708.55 and 7,287.30

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Solution

The fourth proportional to 7,805.70, 11,708.55 and 7,287.30 is: 10,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.70 : 11,708.55 = 7,287.30 : x
  2. Step 2: Convert to fraction form
    7,805.70/11,708.55 = 7,287.30/x
  3. Step 3: Cross multiply
    7,805.70x = 11,708.55 × 7,287.30
  4. Step 4: Simplify right side
    7,805.70x = 85,323,716.42
  5. Step 5: Solve for x
    x = 85,323,716.42/7,805.70
  6. Step 6: Final answer
    x = 10,930.95

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Half scale
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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.