Home / 2,255.08-3,380.10-1,282

Finding the Fourth Proportional to 2,255.08, 3,380.10 and 1,282

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Solution

The fourth proportional to 2,255.08, 3,380.10 and 1,282 is: 1,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.08 : 3,380.10 = 1,282 : x
  2. Step 2: Convert to fraction form
    2,255.08/3,380.10 = 1,282/x
  3. Step 3: Cross multiply
    2,255.08x = 3,380.10 × 1,282
  4. Step 4: Simplify right side
    2,255.08x = 4,333,288.20
  5. Step 5: Solve for x
    x = 4,333,288.20/2,255.08
  6. Step 6: Final answer
    x = 1,921.57

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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.