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Finding the Fourth Proportional to 2,641.88, 3,964.26 and 1,878.68

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Solution

The fourth proportional to 2,641.88, 3,964.26 and 1,878.68 is: 2,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.88 : 3,964.26 = 1,878.68 : x
  2. Step 2: Convert to fraction form
    2,641.88/3,964.26 = 1,878.68/x
  3. Step 3: Cross multiply
    2,641.88x = 3,964.26 × 1,878.68
  4. Step 4: Simplify right side
    2,641.88x = 7,447,575.98
  5. Step 5: Solve for x
    x = 7,447,575.98/2,641.88
  6. Step 6: Final answer
    x = 2,819.04

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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.