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Finding the Fourth Proportional to 5,641.28, 8,463.30 and 3,978.66

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Solution

The fourth proportional to 5,641.28, 8,463.30 and 3,978.66 is: 5,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.28 : 8,463.30 = 3,978.66 : x
  2. Step 2: Convert to fraction form
    5,641.28/8,463.30 = 3,978.66/x
  3. Step 3: Cross multiply
    5,641.28x = 8,463.30 × 3,978.66
  4. Step 4: Simplify right side
    5,641.28x = 33,672,593.18
  5. Step 5: Solve for x
    x = 33,672,593.18/5,641.28
  6. Step 6: Final answer
    x = 5,968.96

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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.