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Finding the Fourth Proportional to 2,876.76, 4,292.67 and 2,764.44

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Solution

The fourth proportional to 2,876.76, 4,292.67 and 2,764.44 is: 4,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.76 : 4,292.67 = 2,764.44 : x
  2. Step 2: Convert to fraction form
    2,876.76/4,292.67 = 2,764.44/x
  3. Step 3: Cross multiply
    2,876.76x = 4,292.67 × 2,764.44
  4. Step 4: Simplify right side
    2,876.76x = 11,866,828.65
  5. Step 5: Solve for x
    x = 11,866,828.65/2,876.76
  6. Step 6: Final answer
    x = 4,125.07

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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.