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Finding the Fourth Proportional to 2,766.89, 4,150.29 and 1,011.89

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Solution

The fourth proportional to 2,766.89, 4,150.29 and 1,011.89 is: 1,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.89 : 4,150.29 = 1,011.89 : x
  2. Step 2: Convert to fraction form
    2,766.89/4,150.29 = 1,011.89/x
  3. Step 3: Cross multiply
    2,766.89x = 4,150.29 × 1,011.89
  4. Step 4: Simplify right side
    2,766.89x = 4,199,636.95
  5. Step 5: Solve for x
    x = 4,199,636.95/2,766.89
  6. Step 6: Final answer
    x = 1,517.82

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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.