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Finding the Fourth Proportional to 13,443.93, 20,169.99 and 6,874.73

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Solution

The fourth proportional to 13,443.93, 20,169.99 and 6,874.73 is: 10,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.93 : 20,169.99 = 6,874.73 : x
  2. Step 2: Convert to fraction form
    13,443.93/20,169.99 = 6,874.73/x
  3. Step 3: Cross multiply
    13,443.93x = 20,169.99 × 6,874.73
  4. Step 4: Simplify right side
    13,443.93x = 138,663,134.50
  5. Step 5: Solve for x
    x = 138,663,134.50/13,443.93
  6. Step 6: Final answer
    x = 10,314.18

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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.