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Finding the Fourth Proportional to 11,517.57, 15,894.31 and 6,481.87

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Solution

The fourth proportional to 11,517.57, 15,894.31 and 6,481.87 is: 8,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.57 : 15,894.31 = 6,481.87 : x
  2. Step 2: Convert to fraction form
    11,517.57/15,894.31 = 6,481.87/x
  3. Step 3: Cross multiply
    11,517.57x = 15,894.31 × 6,481.87
  4. Step 4: Simplify right side
    11,517.57x = 103,024,795.22
  5. Step 5: Solve for x
    x = 103,024,795.22/11,517.57
  6. Step 6: Final answer
    x = 8,945.01

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1.5x scale

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.