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Finding the Fourth Proportional to 3,438.48, 5,158.20 and 1,247.82

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Solution

The fourth proportional to 3,438.48, 5,158.20 and 1,247.82 is: 1,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.48 : 5,158.20 = 1,247.82 : x
  2. Step 2: Convert to fraction form
    3,438.48/5,158.20 = 1,247.82/x
  3. Step 3: Cross multiply
    3,438.48x = 5,158.20 × 1,247.82
  4. Step 4: Simplify right side
    3,438.48x = 6,436,505.12
  5. Step 5: Solve for x
    x = 6,436,505.12/3,438.48
  6. Step 6: Final answer
    x = 1,871.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.