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Finding the Fourth Proportional to 2,760.12, 4,138.83 and 980.57

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Solution

The fourth proportional to 2,760.12, 4,138.83 and 980.57 is: 1,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.12 : 4,138.83 = 980.57 : x
  2. Step 2: Convert to fraction form
    2,760.12/4,138.83 = 980.57/x
  3. Step 3: Cross multiply
    2,760.12x = 4,138.83 × 980.57
  4. Step 4: Simplify right side
    2,760.12x = 4,058,391.84
  5. Step 5: Solve for x
    x = 4,058,391.84/2,760.12
  6. Step 6: Final answer
    x = 1,470.37

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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.