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Finding the Fourth Proportional to 2,876.70, 4,315.05 and 1,839.90

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Solution

The fourth proportional to 2,876.70, 4,315.05 and 1,839.90 is: 2,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.70 : 4,315.05 = 1,839.90 : x
  2. Step 2: Convert to fraction form
    2,876.70/4,315.05 = 1,839.90/x
  3. Step 3: Cross multiply
    2,876.70x = 4,315.05 × 1,839.90
  4. Step 4: Simplify right side
    2,876.70x = 7,939,260.50
  5. Step 5: Solve for x
    x = 7,939,260.50/2,876.70
  6. Step 6: Final answer
    x = 2,759.85

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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.