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Finding the Fourth Proportional to 6,811.11, 10,209.40 and 3,883.11

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Solution

The fourth proportional to 6,811.11, 10,209.40 and 3,883.11 is: 5,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.11 : 10,209.40 = 3,883.11 : x
  2. Step 2: Convert to fraction form
    6,811.11/10,209.40 = 3,883.11/x
  3. Step 3: Cross multiply
    6,811.11x = 10,209.40 × 3,883.11
  4. Step 4: Simplify right side
    6,811.11x = 39,644,223.23
  5. Step 5: Solve for x
    x = 39,644,223.23/6,811.11
  6. Step 6: Final answer
    x = 5,820.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.