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Finding the Fourth Proportional to 2,751.50, 4,127.78 and 902.74

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Solution

The fourth proportional to 2,751.50, 4,127.78 and 902.74 is: 1,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.50 : 4,127.78 = 902.74 : x
  2. Step 2: Convert to fraction form
    2,751.50/4,127.78 = 902.74/x
  3. Step 3: Cross multiply
    2,751.50x = 4,127.78 × 902.74
  4. Step 4: Simplify right side
    2,751.50x = 3,726,312.12
  5. Step 5: Solve for x
    x = 3,726,312.12/2,751.50
  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.