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Finding the Fourth Proportional to 2,772.82, 4,158.70 and 824.58

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Solution

The fourth proportional to 2,772.82, 4,158.70 and 824.58 is: 1,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.82 : 4,158.70 = 824.58 : x
  2. Step 2: Convert to fraction form
    2,772.82/4,158.70 = 824.58/x
  3. Step 3: Cross multiply
    2,772.82x = 4,158.70 × 824.58
  4. Step 4: Simplify right side
    2,772.82x = 3,429,180.85
  5. Step 5: Solve for x
    x = 3,429,180.85/2,772.82
  6. Step 6: Final answer
    x = 1,236.71

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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.