Home / 2,748.24-4,122.76-800.20

Finding the Fourth Proportional to 2,748.24, 4,122.76 and 800.20

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Solution

The fourth proportional to 2,748.24, 4,122.76 and 800.20 is: 1,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.24 : 4,122.76 = 800.20 : x
  2. Step 2: Convert to fraction form
    2,748.24/4,122.76 = 800.20/x
  3. Step 3: Cross multiply
    2,748.24x = 4,122.76 × 800.20
  4. Step 4: Simplify right side
    2,748.24x = 3,299,032.55
  5. Step 5: Solve for x
    x = 3,299,032.55/2,748.24
  6. Step 6: Final answer
    x = 1,200.42

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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.