Home / 1,802.28-2,702.16-827.85

Finding the Fourth Proportional to 1,802.28, 2,702.16 and 827.85

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Solution

The fourth proportional to 1,802.28, 2,702.16 and 827.85 is: 1,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.28 : 2,702.16 = 827.85 : x
  2. Step 2: Convert to fraction form
    1,802.28/2,702.16 = 827.85/x
  3. Step 3: Cross multiply
    1,802.28x = 2,702.16 × 827.85
  4. Step 4: Simplify right side
    1,802.28x = 2,236,983.16
  5. Step 5: Solve for x
    x = 2,236,983.16/1,802.28
  6. Step 6: Final answer
    x = 1,241.20

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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.