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Finding the Fourth Proportional to 2,245.78, 3,098.12 and 1,448.90

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Solution

The fourth proportional to 2,245.78, 3,098.12 and 1,448.90 is: 1,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.78 : 3,098.12 = 1,448.90 : x
  2. Step 2: Convert to fraction form
    2,245.78/3,098.12 = 1,448.90/x
  3. Step 3: Cross multiply
    2,245.78x = 3,098.12 × 1,448.90
  4. Step 4: Simplify right side
    2,245.78x = 4,488,854.20
  5. Step 5: Solve for x
    x = 4,488,854.20/2,245.78
  6. Step 6: Final answer
    x = 1,998.80

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1.5x scale

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.