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Finding the Fourth Proportional to 6,142.11, 8,476.13 and 3,347.61

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Solution

The fourth proportional to 6,142.11, 8,476.13 and 3,347.61 is: 4,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.11 : 8,476.13 = 3,347.61 : x
  2. Step 2: Convert to fraction form
    6,142.11/8,476.13 = 3,347.61/x
  3. Step 3: Cross multiply
    6,142.11x = 8,476.13 × 3,347.61
  4. Step 4: Simplify right side
    6,142.11x = 28,374,777.55
  5. Step 5: Solve for x
    x = 28,374,777.55/6,142.11
  6. Step 6: Final answer
    x = 4,619.71

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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.