Home / 2,772.18-4,158.28-824.40

Finding the Fourth Proportional to 2,772.18, 4,158.28 and 824.40

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Solution

The fourth proportional to 2,772.18, 4,158.28 and 824.40 is: 1,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.18 : 4,158.28 = 824.40 : x
  2. Step 2: Convert to fraction form
    2,772.18/4,158.28 = 824.40/x
  3. Step 3: Cross multiply
    2,772.18x = 4,158.28 × 824.40
  4. Step 4: Simplify right side
    2,772.18x = 3,428,086.03
  5. Step 5: Solve for x
    x = 3,428,086.03/2,772.18
  6. Step 6: Final answer
    x = 1,236.60

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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.