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Finding the Fourth Proportional to 10,125.81, 13,971.38 and 5,874.41

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Solution

The fourth proportional to 10,125.81, 13,971.38 and 5,874.41 is: 8,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.81 : 13,971.38 = 5,874.41 : x
  2. Step 2: Convert to fraction form
    10,125.81/13,971.38 = 5,874.41/x
  3. Step 3: Cross multiply
    10,125.81x = 13,971.38 × 5,874.41
  4. Step 4: Simplify right side
    10,125.81x = 82,073,657.09
  5. Step 5: Solve for x
    x = 82,073,657.09/10,125.81
  6. Step 6: Final answer
    x = 8,105.39

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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.