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Finding the Fourth Proportional to 6,811.67, 10,218.09 and 1,881.31

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Solution

The fourth proportional to 6,811.67, 10,218.09 and 1,881.31 is: 2,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.67 : 10,218.09 = 1,881.31 : x
  2. Step 2: Convert to fraction form
    6,811.67/10,218.09 = 1,881.31/x
  3. Step 3: Cross multiply
    6,811.67x = 10,218.09 × 1,881.31
  4. Step 4: Simplify right side
    6,811.67x = 19,223,414.73
  5. Step 5: Solve for x
    x = 19,223,414.73/6,811.67
  6. Step 6: Final answer
    x = 2,822.13

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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.