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Finding the Fourth Proportional to 11,517, 15,893.53 and 6,481.31

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Solution

The fourth proportional to 11,517, 15,893.53 and 6,481.31 is: 8,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517 : 15,893.53 = 6,481.31 : x
  2. Step 2: Convert to fraction form
    11,517/15,893.53 = 6,481.31/x
  3. Step 3: Cross multiply
    11,517x = 15,893.53 × 6,481.31
  4. Step 4: Simplify right side
    11,517x = 103,010,799.25
  5. Step 5: Solve for x
    x = 103,010,799.25/11,517
  6. Step 6: Final answer
    x = 8,944.24

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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.