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Finding the Fourth Proportional to 2,762.28, 4,142.97 and 814.04

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Solution

The fourth proportional to 2,762.28, 4,142.97 and 814.04 is: 1,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.28 : 4,142.97 = 814.04 : x
  2. Step 2: Convert to fraction form
    2,762.28/4,142.97 = 814.04/x
  3. Step 3: Cross multiply
    2,762.28x = 4,142.97 × 814.04
  4. Step 4: Simplify right side
    2,762.28x = 3,372,522.58
  5. Step 5: Solve for x
    x = 3,372,522.58/2,762.28
  6. Step 6: Final answer
    x = 1,220.92

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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.