Home / 2,280.44-3,420.66-820.02

Finding the Fourth Proportional to 2,280.44, 3,420.66 and 820.02

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Solution

The fourth proportional to 2,280.44, 3,420.66 and 820.02 is: 1,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.44 : 3,420.66 = 820.02 : x
  2. Step 2: Convert to fraction form
    2,280.44/3,420.66 = 820.02/x
  3. Step 3: Cross multiply
    2,280.44x = 3,420.66 × 820.02
  4. Step 4: Simplify right side
    2,280.44x = 2,805,009.61
  5. Step 5: Solve for x
    x = 2,805,009.61/2,280.44
  6. Step 6: Final answer
    x = 1,230.03

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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.