Home / 2,314.40-3,170.92-2,282

Finding the Fourth Proportional to 2,314.40, 3,170.92 and 2,282

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Solution

The fourth proportional to 2,314.40, 3,170.92 and 2,282 is: 3,126.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.40 : 3,170.92 = 2,282 : x
  2. Step 2: Convert to fraction form
    2,314.40/3,170.92 = 2,282/x
  3. Step 3: Cross multiply
    2,314.40x = 3,170.92 × 2,282
  4. Step 4: Simplify right side
    2,314.40x = 7,236,039.44
  5. Step 5: Solve for x
    x = 7,236,039.44/2,314.40
  6. Step 6: Final answer
    x = 3,126.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.