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Finding the Fourth Proportional to 10,580.44, 15,859.86 and 3,649

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Solution

The fourth proportional to 10,580.44, 15,859.86 and 3,649 is: 5,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.44 : 15,859.86 = 3,649 : x
  2. Step 2: Convert to fraction form
    10,580.44/15,859.86 = 3,649/x
  3. Step 3: Cross multiply
    10,580.44x = 15,859.86 × 3,649
  4. Step 4: Simplify right side
    10,580.44x = 57,872,629.14
  5. Step 5: Solve for x
    x = 57,872,629.14/10,580.44
  6. Step 6: Final answer
    x = 5,469.78

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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.