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Finding the Fourth Proportional to 3,778.66, 5,663.85 and 3,229.17

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Solution

The fourth proportional to 3,778.66, 5,663.85 and 3,229.17 is: 4,840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.66 : 5,663.85 = 3,229.17 : x
  2. Step 2: Convert to fraction form
    3,778.66/5,663.85 = 3,229.17/x
  3. Step 3: Cross multiply
    3,778.66x = 5,663.85 × 3,229.17
  4. Step 4: Simplify right side
    3,778.66x = 18,289,534.50
  5. Step 5: Solve for x
    x = 18,289,534.50/3,778.66
  6. Step 6: Final answer
    x = 4,840.22

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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.