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Finding the Fourth Proportional to 10,645.80, 15,971.10 and 3,250.60

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Solution

The fourth proportional to 10,645.80, 15,971.10 and 3,250.60 is: 4,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.80 : 15,971.10 = 3,250.60 : x
  2. Step 2: Convert to fraction form
    10,645.80/15,971.10 = 3,250.60/x
  3. Step 3: Cross multiply
    10,645.80x = 15,971.10 × 3,250.60
  4. Step 4: Simplify right side
    10,645.80x = 51,915,657.66
  5. Step 5: Solve for x
    x = 51,915,657.66/10,645.80
  6. Step 6: Final answer
    x = 4,876.63

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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.