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Finding the Fourth Proportional to 2,379.76, 3,284.22 and 1,331.90

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Solution

The fourth proportional to 2,379.76, 3,284.22 and 1,331.90 is: 1,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.76 : 3,284.22 = 1,331.90 : x
  2. Step 2: Convert to fraction form
    2,379.76/3,284.22 = 1,331.90/x
  3. Step 3: Cross multiply
    2,379.76x = 3,284.22 × 1,331.90
  4. Step 4: Simplify right side
    2,379.76x = 4,374,252.62
  5. Step 5: Solve for x
    x = 4,374,252.62/2,379.76
  6. Step 6: Final answer
    x = 1,838.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.