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Finding the Fourth Proportional to 7,044.98, 9,721.22 and 3,900.96

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Solution

The fourth proportional to 7,044.98, 9,721.22 and 3,900.96 is: 5,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.98 : 9,721.22 = 3,900.96 : x
  2. Step 2: Convert to fraction form
    7,044.98/9,721.22 = 3,900.96/x
  3. Step 3: Cross multiply
    7,044.98x = 9,721.22 × 3,900.96
  4. Step 4: Simplify right side
    7,044.98x = 37,922,070.87
  5. Step 5: Solve for x
    x = 37,922,070.87/7,044.98
  6. Step 6: Final answer
    x = 5,382.85

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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.