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Finding the Fourth Proportional to 13,443.74, 20,169.71 and 6,874.54

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Solution

The fourth proportional to 13,443.74, 20,169.71 and 6,874.54 is: 10,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.74 : 20,169.71 = 6,874.54 : x
  2. Step 2: Convert to fraction form
    13,443.74/20,169.71 = 6,874.54/x
  3. Step 3: Cross multiply
    13,443.74x = 20,169.71 × 6,874.54
  4. Step 4: Simplify right side
    13,443.74x = 138,657,342.96
  5. Step 5: Solve for x
    x = 138,657,342.96/13,443.74
  6. Step 6: Final answer
    x = 10,313.90

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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.