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Finding the Fourth Proportional to 6,811.94, 10,218.11 and 1,881.58

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Solution

The fourth proportional to 6,811.94, 10,218.11 and 1,881.58 is: 2,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.94 : 10,218.11 = 1,881.58 : x
  2. Step 2: Convert to fraction form
    6,811.94/10,218.11 = 1,881.58/x
  3. Step 3: Cross multiply
    6,811.94x = 10,218.11 × 1,881.58
  4. Step 4: Simplify right side
    6,811.94x = 19,226,194.78
  5. Step 5: Solve for x
    x = 19,226,194.78/6,811.94
  6. Step 6: Final answer
    x = 2,822.42

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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.