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Finding the Fourth Proportional to 2,766.76, 4,144.47 and 2,215.96

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Solution

The fourth proportional to 2,766.76, 4,144.47 and 2,215.96 is: 3,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.76 : 4,144.47 = 2,215.96 : x
  2. Step 2: Convert to fraction form
    2,766.76/4,144.47 = 2,215.96/x
  3. Step 3: Cross multiply
    2,766.76x = 4,144.47 × 2,215.96
  4. Step 4: Simplify right side
    2,766.76x = 9,183,979.74
  5. Step 5: Solve for x
    x = 9,183,979.74/2,766.76
  6. Step 6: Final answer
    x = 3,319.40

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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.