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Finding the Fourth Proportional to 2,013.68, 3,017.26 and 1,648.64

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Solution

The fourth proportional to 2,013.68, 3,017.26 and 1,648.64 is: 2,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.68 : 3,017.26 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    2,013.68/3,017.26 = 1,648.64/x
  3. Step 3: Cross multiply
    2,013.68x = 3,017.26 × 1,648.64
  4. Step 4: Simplify right side
    2,013.68x = 4,974,375.53
  5. Step 5: Solve for x
    x = 4,974,375.53/2,013.68
  6. Step 6: Final answer
    x = 2,470.29

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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.