Home / 2,280.10-3,420.13-819.35

Finding the Fourth Proportional to 2,280.10, 3,420.13 and 819.35

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Solution

The fourth proportional to 2,280.10, 3,420.13 and 819.35 is: 1,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.10 : 3,420.13 = 819.35 : x
  2. Step 2: Convert to fraction form
    2,280.10/3,420.13 = 819.35/x
  3. Step 3: Cross multiply
    2,280.10x = 3,420.13 × 819.35
  4. Step 4: Simplify right side
    2,280.10x = 2,802,283.52
  5. Step 5: Solve for x
    x = 2,802,283.52/2,280.10
  6. Step 6: Final answer
    x = 1,229.02

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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.