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Finding the Fourth Proportional to 10,393.11, 15,593.11 and 5,131.86

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Solution

The fourth proportional to 10,393.11, 15,593.11 and 5,131.86 is: 7,699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.11 : 15,593.11 = 5,131.86 : x
  2. Step 2: Convert to fraction form
    10,393.11/15,593.11 = 5,131.86/x
  3. Step 3: Cross multiply
    10,393.11x = 15,593.11 × 5,131.86
  4. Step 4: Simplify right side
    10,393.11x = 80,021,586.18
  5. Step 5: Solve for x
    x = 80,021,586.18/10,393.11
  6. Step 6: Final answer
    x = 7,699.48

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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.