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Finding the Fourth Proportional to 10,640.75, 15,954.17 and 5,093.91

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Solution

The fourth proportional to 10,640.75, 15,954.17 and 5,093.91 is: 7,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.75 : 15,954.17 = 5,093.91 : x
  2. Step 2: Convert to fraction form
    10,640.75/15,954.17 = 5,093.91/x
  3. Step 3: Cross multiply
    10,640.75x = 15,954.17 × 5,093.91
  4. Step 4: Simplify right side
    10,640.75x = 81,269,080.64
  5. Step 5: Solve for x
    x = 81,269,080.64/10,640.75
  6. Step 6: Final answer
    x = 7,637.54

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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.