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Finding the Fourth Proportional to 20,691, 31,039.74 and 6,843.24

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Solution

The fourth proportional to 20,691, 31,039.74 and 6,843.24 is: 10,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691 : 31,039.74 = 6,843.24 : x
  2. Step 2: Convert to fraction form
    20,691/31,039.74 = 6,843.24/x
  3. Step 3: Cross multiply
    20,691x = 31,039.74 × 6,843.24
  4. Step 4: Simplify right side
    20,691x = 212,412,390.36
  5. Step 5: Solve for x
    x = 212,412,390.36/20,691
  6. Step 6: Final answer
    x = 10,265.93

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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.