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Finding the Fourth Proportional to 10,651.40, 15,978.30 and 3,255.80

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Solution

The fourth proportional to 10,651.40, 15,978.30 and 3,255.80 is: 4,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.40 : 15,978.30 = 3,255.80 : x
  2. Step 2: Convert to fraction form
    10,651.40/15,978.30 = 3,255.80/x
  3. Step 3: Cross multiply
    10,651.40x = 15,978.30 × 3,255.80
  4. Step 4: Simplify right side
    10,651.40x = 52,022,149.14
  5. Step 5: Solve for x
    x = 52,022,149.14/10,651.40
  6. Step 6: Final answer
    x = 4,884.07

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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.