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Finding the Fourth Proportional to 2,275.68, 3,414.36 and 889.68

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Solution

The fourth proportional to 2,275.68, 3,414.36 and 889.68 is: 1,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.68 : 3,414.36 = 889.68 : x
  2. Step 2: Convert to fraction form
    2,275.68/3,414.36 = 889.68/x
  3. Step 3: Cross multiply
    2,275.68x = 3,414.36 × 889.68
  4. Step 4: Simplify right side
    2,275.68x = 3,037,687.80
  5. Step 5: Solve for x
    x = 3,037,687.80/2,275.68
  6. Step 6: Final answer
    x = 1,334.85

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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.