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Finding the Fourth Proportional to 9,021.88, 12,449.38 and 5,042.44

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Solution

The fourth proportional to 9,021.88, 12,449.38 and 5,042.44 is: 6,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.88 : 12,449.38 = 5,042.44 : x
  2. Step 2: Convert to fraction form
    9,021.88/12,449.38 = 5,042.44/x
  3. Step 3: Cross multiply
    9,021.88x = 12,449.38 × 5,042.44
  4. Step 4: Simplify right side
    9,021.88x = 62,775,251.69
  5. Step 5: Solve for x
    x = 62,775,251.69/9,021.88
  6. Step 6: Final answer
    x = 6,958.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.