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Finding the Fourth Proportional to 5,449.41, 8,178.98 and 3,719.25

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Solution

The fourth proportional to 5,449.41, 8,178.98 and 3,719.25 is: 5,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.41 : 8,178.98 = 3,719.25 : x
  2. Step 2: Convert to fraction form
    5,449.41/8,178.98 = 3,719.25/x
  3. Step 3: Cross multiply
    5,449.41x = 8,178.98 × 3,719.25
  4. Step 4: Simplify right side
    5,449.41x = 30,419,652.77
  5. Step 5: Solve for x
    x = 30,419,652.77/5,449.41
  6. Step 6: Final answer
    x = 5,582.19

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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.