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Finding the Fourth Proportional to 6,761.76, 9,331.66 and 3,778

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Solution

The fourth proportional to 6,761.76, 9,331.66 and 3,778 is: 5,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.76 : 9,331.66 = 3,778 : x
  2. Step 2: Convert to fraction form
    6,761.76/9,331.66 = 3,778/x
  3. Step 3: Cross multiply
    6,761.76x = 9,331.66 × 3,778
  4. Step 4: Simplify right side
    6,761.76x = 35,255,011.48
  5. Step 5: Solve for x
    x = 35,255,011.48/6,761.76
  6. Step 6: Final answer
    x = 5,213.88

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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.