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Finding the Fourth Proportional to 1,948.50, 2,687.10 and 1,452.24

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Solution

The fourth proportional to 1,948.50, 2,687.10 and 1,452.24 is: 2,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.50 : 2,687.10 = 1,452.24 : x
  2. Step 2: Convert to fraction form
    1,948.50/2,687.10 = 1,452.24/x
  3. Step 3: Cross multiply
    1,948.50x = 2,687.10 × 1,452.24
  4. Step 4: Simplify right side
    1,948.50x = 3,902,314.10
  5. Step 5: Solve for x
    x = 3,902,314.10/1,948.50
  6. Step 6: Final answer
    x = 2,002.73

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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.