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Finding the Fourth Proportional to 10,321.60, 15,489.60 and 6,632.80

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Solution

The fourth proportional to 10,321.60, 15,489.60 and 6,632.80 is: 9,953.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.60 : 15,489.60 = 6,632.80 : x
  2. Step 2: Convert to fraction form
    10,321.60/15,489.60 = 6,632.80/x
  3. Step 3: Cross multiply
    10,321.60x = 15,489.60 × 6,632.80
  4. Step 4: Simplify right side
    10,321.60x = 102,739,418.88
  5. Step 5: Solve for x
    x = 102,739,418.88/10,321.60
  6. Step 6: Final answer
    x = 9,953.83

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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.