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Finding the Fourth Proportional to 6,101.82, 8,420.47 and 3,449.22

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Solution

The fourth proportional to 6,101.82, 8,420.47 and 3,449.22 is: 4,759.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.82 : 8,420.47 = 3,449.22 : x
  2. Step 2: Convert to fraction form
    6,101.82/8,420.47 = 3,449.22/x
  3. Step 3: Cross multiply
    6,101.82x = 8,420.47 × 3,449.22
  4. Step 4: Simplify right side
    6,101.82x = 29,044,053.53
  5. Step 5: Solve for x
    x = 29,044,053.53/6,101.82
  6. Step 6: Final answer
    x = 4,759.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.