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Finding the Fourth Proportional to 7,952.38, 11,930.22 and 3,021.10

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Solution

The fourth proportional to 7,952.38, 11,930.22 and 3,021.10 is: 4,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.38 : 11,930.22 = 3,021.10 : x
  2. Step 2: Convert to fraction form
    7,952.38/11,930.22 = 3,021.10/x
  3. Step 3: Cross multiply
    7,952.38x = 11,930.22 × 3,021.10
  4. Step 4: Simplify right side
    7,952.38x = 36,042,387.64
  5. Step 5: Solve for x
    x = 36,042,387.64/7,952.38
  6. Step 6: Final answer
    x = 4,532.28

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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.