Home / 2,281.24-3,420.78-800.20

Finding the Fourth Proportional to 2,281.24, 3,420.78 and 800.20

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Solution

The fourth proportional to 2,281.24, 3,420.78 and 800.20 is: 1,199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.24 : 3,420.78 = 800.20 : x
  2. Step 2: Convert to fraction form
    2,281.24/3,420.78 = 800.20/x
  3. Step 3: Cross multiply
    2,281.24x = 3,420.78 × 800.20
  4. Step 4: Simplify right side
    2,281.24x = 2,737,308.16
  5. Step 5: Solve for x
    x = 2,737,308.16/2,281.24
  6. Step 6: Final answer
    x = 1,199.92

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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.