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Finding the Fourth Proportional to 2,762.75, 4,143.42 and 814.50

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Solution

The fourth proportional to 2,762.75, 4,143.42 and 814.50 is: 1,221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.75 : 4,143.42 = 814.50 : x
  2. Step 2: Convert to fraction form
    2,762.75/4,143.42 = 814.50/x
  3. Step 3: Cross multiply
    2,762.75x = 4,143.42 × 814.50
  4. Step 4: Simplify right side
    2,762.75x = 3,374,815.59
  5. Step 5: Solve for x
    x = 3,374,815.59/2,762.75
  6. Step 6: Final answer
    x = 1,221.54

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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.