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Finding the Fourth Proportional to 2,802.75, 4,203.13 and 827.85

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Solution

The fourth proportional to 2,802.75, 4,203.13 and 827.85 is: 1,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.75 : 4,203.13 = 827.85 : x
  2. Step 2: Convert to fraction form
    2,802.75/4,203.13 = 827.85/x
  3. Step 3: Cross multiply
    2,802.75x = 4,203.13 × 827.85
  4. Step 4: Simplify right side
    2,802.75x = 3,479,561.17
  5. Step 5: Solve for x
    x = 3,479,561.17/2,802.75
  6. Step 6: Final answer
    x = 1,241.48

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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.