Home / 2,280.43-3,420.81-819.60

Finding the Fourth Proportional to 2,280.43, 3,420.81 and 819.60

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Solution

The fourth proportional to 2,280.43, 3,420.81 and 819.60 is: 1,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.43 : 3,420.81 = 819.60 : x
  2. Step 2: Convert to fraction form
    2,280.43/3,420.81 = 819.60/x
  3. Step 3: Cross multiply
    2,280.43x = 3,420.81 × 819.60
  4. Step 4: Simplify right side
    2,280.43x = 2,803,686.12
  5. Step 5: Solve for x
    x = 2,803,686.12/2,280.43
  6. Step 6: Final answer
    x = 1,229.45

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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.