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Finding the Fourth Proportional to 3,098.70, 4,648.76 and 1,344

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Solution

The fourth proportional to 3,098.70, 4,648.76 and 1,344 is: 2,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.70 : 4,648.76 = 1,344 : x
  2. Step 2: Convert to fraction form
    3,098.70/4,648.76 = 1,344/x
  3. Step 3: Cross multiply
    3,098.70x = 4,648.76 × 1,344
  4. Step 4: Simplify right side
    3,098.70x = 6,247,933.44
  5. Step 5: Solve for x
    x = 6,247,933.44/3,098.70
  6. Step 6: Final answer
    x = 2,016.31

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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.