Home / 2,280.78-3,421.17-820.08

Finding the Fourth Proportional to 2,280.78, 3,421.17 and 820.08

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Solution

The fourth proportional to 2,280.78, 3,421.17 and 820.08 is: 1,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.78 : 3,421.17 = 820.08 : x
  2. Step 2: Convert to fraction form
    2,280.78/3,421.17 = 820.08/x
  3. Step 3: Cross multiply
    2,280.78x = 3,421.17 × 820.08
  4. Step 4: Simplify right side
    2,280.78x = 2,805,633.09
  5. Step 5: Solve for x
    x = 2,805,633.09/2,280.78
  6. Step 6: Final answer
    x = 1,230.12

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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.