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Finding the Fourth Proportional to 10,508.74, 15,769.22 and 3,939.50

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Solution

The fourth proportional to 10,508.74, 15,769.22 and 3,939.50 is: 5,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.74 : 15,769.22 = 3,939.50 : x
  2. Step 2: Convert to fraction form
    10,508.74/15,769.22 = 3,939.50/x
  3. Step 3: Cross multiply
    10,508.74x = 15,769.22 × 3,939.50
  4. Step 4: Simplify right side
    10,508.74x = 62,122,861.92
  5. Step 5: Solve for x
    x = 62,122,861.92/10,508.74
  6. Step 6: Final answer
    x = 5,911.54

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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.