Home / 2,275.44-3,414.76-977.28

Finding the Fourth Proportional to 2,275.44, 3,414.76 and 977.28

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Solution

The fourth proportional to 2,275.44, 3,414.76 and 977.28 is: 1,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.44 : 3,414.76 = 977.28 : x
  2. Step 2: Convert to fraction form
    2,275.44/3,414.76 = 977.28/x
  3. Step 3: Cross multiply
    2,275.44x = 3,414.76 × 977.28
  4. Step 4: Simplify right side
    2,275.44x = 3,337,176.65
  5. Step 5: Solve for x
    x = 3,337,176.65/2,275.44
  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.