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Finding the Fourth Proportional to 10,494.90, 15,728.38 and 3,914.46

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Solution

The fourth proportional to 10,494.90, 15,728.38 and 3,914.46 is: 5,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.90 : 15,728.38 = 3,914.46 : x
  2. Step 2: Convert to fraction form
    10,494.90/15,728.38 = 3,914.46/x
  3. Step 3: Cross multiply
    10,494.90x = 15,728.38 × 3,914.46
  4. Step 4: Simplify right side
    10,494.90x = 61,568,104.59
  5. Step 5: Solve for x
    x = 61,568,104.59/10,494.90
  6. Step 6: Final answer
    x = 5,866.48

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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.