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Finding the Fourth Proportional to 7,272.50, 10,909.17 and 2,078.78

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Solution

The fourth proportional to 7,272.50, 10,909.17 and 2,078.78 is: 3,118.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.50 : 10,909.17 = 2,078.78 : x
  2. Step 2: Convert to fraction form
    7,272.50/10,909.17 = 2,078.78/x
  3. Step 3: Cross multiply
    7,272.50x = 10,909.17 × 2,078.78
  4. Step 4: Simplify right side
    7,272.50x = 22,677,764.41
  5. Step 5: Solve for x
    x = 22,677,764.41/7,272.50
  6. Step 6: Final answer
    x = 3,118.29

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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.