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Finding the Fourth Proportional to 3,948.50, 5,448.74 and 2,269.78

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Solution

The fourth proportional to 3,948.50, 5,448.74 and 2,269.78 is: 3,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.50 : 5,448.74 = 2,269.78 : x
  2. Step 2: Convert to fraction form
    3,948.50/5,448.74 = 2,269.78/x
  3. Step 3: Cross multiply
    3,948.50x = 5,448.74 × 2,269.78
  4. Step 4: Simplify right side
    3,948.50x = 12,367,416.11
  5. Step 5: Solve for x
    x = 12,367,416.11/3,948.50
  6. Step 6: Final answer
    x = 3,132.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.