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Finding the Fourth Proportional to 8,742, 13,115.22 and 2,586

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Solution

The fourth proportional to 8,742, 13,115.22 and 2,586 is: 3,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 13,115.22 = 2,586 : x
  2. Step 2: Convert to fraction form
    8,742/13,115.22 = 2,586/x
  3. Step 3: Cross multiply
    8,742x = 13,115.22 × 2,586
  4. Step 4: Simplify right side
    8,742x = 33,915,958.92
  5. Step 5: Solve for x
    x = 33,915,958.92/8,742
  6. Step 6: Final answer
    x = 3,879.66

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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.