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Finding the Fourth Proportional to 2,278.26, 3,418.20 and 739.26

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Solution

The fourth proportional to 2,278.26, 3,418.20 and 739.26 is: 1,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.26 : 3,418.20 = 739.26 : x
  2. Step 2: Convert to fraction form
    2,278.26/3,418.20 = 739.26/x
  3. Step 3: Cross multiply
    2,278.26x = 3,418.20 × 739.26
  4. Step 4: Simplify right side
    2,278.26x = 2,526,938.53
  5. Step 5: Solve for x
    x = 2,526,938.53/2,278.26
  6. Step 6: Final answer
    x = 1,109.15

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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.