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Finding the Fourth Proportional to 2,974.62, 4,104.78 and 1,648.38

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Solution

The fourth proportional to 2,974.62, 4,104.78 and 1,648.38 is: 2,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.62 : 4,104.78 = 1,648.38 : x
  2. Step 2: Convert to fraction form
    2,974.62/4,104.78 = 1,648.38/x
  3. Step 3: Cross multiply
    2,974.62x = 4,104.78 × 1,648.38
  4. Step 4: Simplify right side
    2,974.62x = 6,766,237.26
  5. Step 5: Solve for x
    x = 6,766,237.26/2,974.62
  6. Step 6: Final answer
    x = 2,274.66

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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.