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Finding the Fourth Proportional to 2,751.98, 4,127.15 and 902.75

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Solution

The fourth proportional to 2,751.98, 4,127.15 and 902.75 is: 1,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.98 : 4,127.15 = 902.75 : x
  2. Step 2: Convert to fraction form
    2,751.98/4,127.15 = 902.75/x
  3. Step 3: Cross multiply
    2,751.98x = 4,127.15 × 902.75
  4. Step 4: Simplify right side
    2,751.98x = 3,725,766.28
  5. Step 5: Solve for x
    x = 3,725,766.28/2,751.98
  6. Step 6: Final answer
    x = 1,353.85

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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.