Home / 2,276.46-3,414.69-977.63

Finding the Fourth Proportional to 2,276.46, 3,414.69 and 977.63

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Solution

The fourth proportional to 2,276.46, 3,414.69 and 977.63 is: 1,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.46 : 3,414.69 = 977.63 : x
  2. Step 2: Convert to fraction form
    2,276.46/3,414.69 = 977.63/x
  3. Step 3: Cross multiply
    2,276.46x = 3,414.69 × 977.63
  4. Step 4: Simplify right side
    2,276.46x = 3,338,286.31
  5. Step 5: Solve for x
    x = 3,338,286.31/2,276.46
  6. Step 6: Final answer
    x = 1,466.44

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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.