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Finding the Fourth Proportional to 2,738.90, 4,102.28 and 2,252.90

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Solution

The fourth proportional to 2,738.90, 4,102.28 and 2,252.90 is: 3,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.90 : 4,102.28 = 2,252.90 : x
  2. Step 2: Convert to fraction form
    2,738.90/4,102.28 = 2,252.90/x
  3. Step 3: Cross multiply
    2,738.90x = 4,102.28 × 2,252.90
  4. Step 4: Simplify right side
    2,738.90x = 9,242,015.35
  5. Step 5: Solve for x
    x = 9,242,015.35/2,738.90
  6. Step 6: Final answer
    x = 3,374.35

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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.