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Finding the Fourth Proportional to 10,650.80, 15,978.60 and 3,255.60

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Solution

The fourth proportional to 10,650.80, 15,978.60 and 3,255.60 is: 4,884.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.80 : 15,978.60 = 3,255.60 : x
  2. Step 2: Convert to fraction form
    10,650.80/15,978.60 = 3,255.60/x
  3. Step 3: Cross multiply
    10,650.80x = 15,978.60 × 3,255.60
  4. Step 4: Simplify right side
    10,650.80x = 52,019,930.16
  5. Step 5: Solve for x
    x = 52,019,930.16/10,650.80
  6. Step 6: Final answer
    x = 4,884.13

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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.