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Finding the Fourth Proportional to 28,762.38, 43,147.20 and 7,985.88

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Solution

The fourth proportional to 28,762.38, 43,147.20 and 7,985.88 is: 11,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,762.38 : 43,147.20 = 7,985.88 : x
  2. Step 2: Convert to fraction form
    28,762.38/43,147.20 = 7,985.88/x
  3. Step 3: Cross multiply
    28,762.38x = 43,147.20 × 7,985.88
  4. Step 4: Simplify right side
    28,762.38x = 344,568,361.54
  5. Step 5: Solve for x
    x = 344,568,361.54/28,762.38
  6. Step 6: Final answer
    x = 11,979.83

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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.