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Finding the Fourth Proportional to 6,811.88, 10,218.05 and 1,881.89

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Solution

The fourth proportional to 6,811.88, 10,218.05 and 1,881.89 is: 2,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.88 : 10,218.05 = 1,881.89 : x
  2. Step 2: Convert to fraction form
    6,811.88/10,218.05 = 1,881.89/x
  3. Step 3: Cross multiply
    6,811.88x = 10,218.05 × 1,881.89
  4. Step 4: Simplify right side
    6,811.88x = 19,229,262.25
  5. Step 5: Solve for x
    x = 19,229,262.25/6,811.88
  6. Step 6: Final answer
    x = 2,822.90

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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.