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Finding the Fourth Proportional to 2,919.75, 4,350.11 and 2,780.43

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Solution

The fourth proportional to 2,919.75, 4,350.11 and 2,780.43 is: 4,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.75 : 4,350.11 = 2,780.43 : x
  2. Step 2: Convert to fraction form
    2,919.75/4,350.11 = 2,780.43/x
  3. Step 3: Cross multiply
    2,919.75x = 4,350.11 × 2,780.43
  4. Step 4: Simplify right side
    2,919.75x = 12,095,176.35
  5. Step 5: Solve for x
    x = 12,095,176.35/2,919.75
  6. Step 6: Final answer
    x = 4,142.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.