Home / 2,255.61-3,382.20-869.30

Finding the Fourth Proportional to 2,255.61, 3,382.20 and 869.30

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Solution

The fourth proportional to 2,255.61, 3,382.20 and 869.30 is: 1,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.61 : 3,382.20 = 869.30 : x
  2. Step 2: Convert to fraction form
    2,255.61/3,382.20 = 869.30/x
  3. Step 3: Cross multiply
    2,255.61x = 3,382.20 × 869.30
  4. Step 4: Simplify right side
    2,255.61x = 2,940,129.55
  5. Step 5: Solve for x
    x = 2,940,129.55/2,255.61
  6. Step 6: Final answer
    x = 1,303.47

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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.