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Finding the Fourth Proportional to 2,244.90, 3,098.34 and 1,448

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Solution

The fourth proportional to 2,244.90, 3,098.34 and 1,448 is: 1,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.90 : 3,098.34 = 1,448 : x
  2. Step 2: Convert to fraction form
    2,244.90/3,098.34 = 1,448/x
  3. Step 3: Cross multiply
    2,244.90x = 3,098.34 × 1,448
  4. Step 4: Simplify right side
    2,244.90x = 4,486,396.32
  5. Step 5: Solve for x
    x = 4,486,396.32/2,244.90
  6. Step 6: Final answer
    x = 1,998.48

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Why These Related Problems?

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