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Finding the Fourth Proportional to 9,118.76, 13,677.48 and 2,879

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Solution

The fourth proportional to 9,118.76, 13,677.48 and 2,879 is: 4,318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.76 : 13,677.48 = 2,879 : x
  2. Step 2: Convert to fraction form
    9,118.76/13,677.48 = 2,879/x
  3. Step 3: Cross multiply
    9,118.76x = 13,677.48 × 2,879
  4. Step 4: Simplify right side
    9,118.76x = 39,377,464.92
  5. Step 5: Solve for x
    x = 39,377,464.92/9,118.76
  6. Step 6: Final answer
    x = 4,318.29

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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.