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Finding the Fourth Proportional to 2,278.70, 3,418.25 and 980.27

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Solution

The fourth proportional to 2,278.70, 3,418.25 and 980.27 is: 1,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.70 : 3,418.25 = 980.27 : x
  2. Step 2: Convert to fraction form
    2,278.70/3,418.25 = 980.27/x
  3. Step 3: Cross multiply
    2,278.70x = 3,418.25 × 980.27
  4. Step 4: Simplify right side
    2,278.70x = 3,350,807.93
  5. Step 5: Solve for x
    x = 3,350,807.93/2,278.70
  6. Step 6: Final answer
    x = 1,470.49

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1.5x scale

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.