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Finding the Fourth Proportional to 2,772, 4,158.69 and 824.20

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Solution

The fourth proportional to 2,772, 4,158.69 and 824.20 is: 1,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 4,158.69 = 824.20 : x
  2. Step 2: Convert to fraction form
    2,772/4,158.69 = 824.20/x
  3. Step 3: Cross multiply
    2,772x = 4,158.69 × 824.20
  4. Step 4: Simplify right side
    2,772x = 3,427,567.38
  5. Step 5: Solve for x
    x = 3,427,567.38/2,772
  6. Step 6: Final answer
    x = 1,236.50

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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.