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Finding the Fourth Proportional to 10,245.60, 15,375.60 and 6,556.80

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Solution

The fourth proportional to 10,245.60, 15,375.60 and 6,556.80 is: 9,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.60 : 15,375.60 = 6,556.80 : x
  2. Step 2: Convert to fraction form
    10,245.60/15,375.60 = 6,556.80/x
  3. Step 3: Cross multiply
    10,245.60x = 15,375.60 × 6,556.80
  4. Step 4: Simplify right side
    10,245.60x = 100,814,734.08
  5. Step 5: Solve for x
    x = 100,814,734.08/10,245.60
  6. Step 6: Final answer
    x = 9,839.81

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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.