Home / 2,276.75-3,414.51-977.92

Finding the Fourth Proportional to 2,276.75, 3,414.51 and 977.92

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Solution

The fourth proportional to 2,276.75, 3,414.51 and 977.92 is: 1,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.75 : 3,414.51 = 977.92 : x
  2. Step 2: Convert to fraction form
    2,276.75/3,414.51 = 977.92/x
  3. Step 3: Cross multiply
    2,276.75x = 3,414.51 × 977.92
  4. Step 4: Simplify right side
    2,276.75x = 3,339,109.08
  5. Step 5: Solve for x
    x = 3,339,109.08/2,276.75
  6. Step 6: Final answer
    x = 1,466.61

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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.