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Finding the Fourth Proportional to 6,770.76, 9,343.05 and 3,937.20

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Solution

The fourth proportional to 6,770.76, 9,343.05 and 3,937.20 is: 5,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.76 : 9,343.05 = 3,937.20 : x
  2. Step 2: Convert to fraction form
    6,770.76/9,343.05 = 3,937.20/x
  3. Step 3: Cross multiply
    6,770.76x = 9,343.05 × 3,937.20
  4. Step 4: Simplify right side
    6,770.76x = 36,785,456.46
  5. Step 5: Solve for x
    x = 36,785,456.46/6,770.76
  6. Step 6: Final answer
    x = 5,432.99

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Half scale
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Double 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.