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Finding the Fourth Proportional to 10,109.96, 13,951.78 and 5,861.86

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Solution

The fourth proportional to 10,109.96, 13,951.78 and 5,861.86 is: 8,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.96 : 13,951.78 = 5,861.86 : x
  2. Step 2: Convert to fraction form
    10,109.96/13,951.78 = 5,861.86/x
  3. Step 3: Cross multiply
    10,109.96x = 13,951.78 × 5,861.86
  4. Step 4: Simplify right side
    10,109.96x = 81,783,381.11
  5. Step 5: Solve for x
    x = 81,783,381.11/10,109.96
  6. Step 6: Final answer
    x = 8,089.39

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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.