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Finding the Fourth Proportional to 20,991, 31,491.90 and 7,843.46

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Solution

The fourth proportional to 20,991, 31,491.90 and 7,843.46 is: 11,767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991 : 31,491.90 = 7,843.46 : x
  2. Step 2: Convert to fraction form
    20,991/31,491.90 = 7,843.46/x
  3. Step 3: Cross multiply
    20,991x = 31,491.90 × 7,843.46
  4. Step 4: Simplify right side
    20,991x = 247,005,457.97
  5. Step 5: Solve for x
    x = 247,005,457.97/20,991
  6. Step 6: Final answer
    x = 11,767.21

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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.