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Finding the Fourth Proportional to 2,876.95, 4,309.10 and 2,377.70

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Solution

The fourth proportional to 2,876.95, 4,309.10 and 2,377.70 is: 3,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.95 : 4,309.10 = 2,377.70 : x
  2. Step 2: Convert to fraction form
    2,876.95/4,309.10 = 2,377.70/x
  3. Step 3: Cross multiply
    2,876.95x = 4,309.10 × 2,377.70
  4. Step 4: Simplify right side
    2,876.95x = 10,245,713.64
  5. Step 5: Solve for x
    x = 10,245,713.64/2,876.95
  6. Step 6: Final answer
    x = 3,561.32

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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.