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Finding the Fourth Proportional to 3,098.88, 4,648.31 and 1,945.44

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Solution

The fourth proportional to 3,098.88, 4,648.31 and 1,945.44 is: 2,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.88 : 4,648.31 = 1,945.44 : x
  2. Step 2: Convert to fraction form
    3,098.88/4,648.31 = 1,945.44/x
  3. Step 3: Cross multiply
    3,098.88x = 4,648.31 × 1,945.44
  4. Step 4: Simplify right side
    3,098.88x = 9,043,008.21
  5. Step 5: Solve for x
    x = 9,043,008.21/3,098.88
  6. Step 6: Final answer
    x = 2,918.15

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1.5x scale

Why These Related Problems?

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