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Finding the Fourth Proportional to 2,775.66, 4,162.26 and 827.46

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Solution

The fourth proportional to 2,775.66, 4,162.26 and 827.46 is: 1,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.66 : 4,162.26 = 827.46 : x
  2. Step 2: Convert to fraction form
    2,775.66/4,162.26 = 827.46/x
  3. Step 3: Cross multiply
    2,775.66x = 4,162.26 × 827.46
  4. Step 4: Simplify right side
    2,775.66x = 3,444,103.66
  5. Step 5: Solve for x
    x = 3,444,103.66/2,775.66
  6. Step 6: Final answer
    x = 1,240.82

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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.