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Finding the Fourth Proportional to 5,952.34, 8,942.38 and 5,121.98

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Solution

The fourth proportional to 5,952.34, 8,942.38 and 5,121.98 is: 7,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.34 : 8,942.38 = 5,121.98 : x
  2. Step 2: Convert to fraction form
    5,952.34/8,942.38 = 5,121.98/x
  3. Step 3: Cross multiply
    5,952.34x = 8,942.38 × 5,121.98
  4. Step 4: Simplify right side
    5,952.34x = 45,802,691.51
  5. Step 5: Solve for x
    x = 45,802,691.51/5,952.34
  6. Step 6: Final answer
    x = 7,694.91

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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.