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Finding the Fourth Proportional to 5,649.80, 8,471.81 and 3,310.56

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Solution

The fourth proportional to 5,649.80, 8,471.81 and 3,310.56 is: 4,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.80 : 8,471.81 = 3,310.56 : x
  2. Step 2: Convert to fraction form
    5,649.80/8,471.81 = 3,310.56/x
  3. Step 3: Cross multiply
    5,649.80x = 8,471.81 × 3,310.56
  4. Step 4: Simplify right side
    5,649.80x = 28,046,418.76
  5. Step 5: Solve for x
    x = 28,046,418.76/5,649.80
  6. Step 6: Final answer
    x = 4,964.15

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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.