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Finding the Fourth Proportional to 2,778.85, 4,169.49 and 1,480

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Solution

The fourth proportional to 2,778.85, 4,169.49 and 1,480 is: 2,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.85 : 4,169.49 = 1,480 : x
  2. Step 2: Convert to fraction form
    2,778.85/4,169.49 = 1,480/x
  3. Step 3: Cross multiply
    2,778.85x = 4,169.49 × 1,480
  4. Step 4: Simplify right side
    2,778.85x = 6,170,845.20
  5. Step 5: Solve for x
    x = 6,170,845.20/2,778.85
  6. Step 6: Final answer
    x = 2,220.65

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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.