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Finding the Fourth Proportional to 2,751.48, 4,127.91 and 902.70

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Solution

The fourth proportional to 2,751.48, 4,127.91 and 902.70 is: 1,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.48 : 4,127.91 = 902.70 : x
  2. Step 2: Convert to fraction form
    2,751.48/4,127.91 = 902.70/x
  3. Step 3: Cross multiply
    2,751.48x = 4,127.91 × 902.70
  4. Step 4: Simplify right side
    2,751.48x = 3,726,264.36
  5. Step 5: Solve for x
    x = 3,726,264.36/2,751.48
  6. Step 6: Final answer
    x = 1,354.28

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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.