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Finding the Fourth Proportional to 3,438.42, 4,741.89 and 2,908.41

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Solution

The fourth proportional to 3,438.42, 4,741.89 and 2,908.41 is: 4,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.42 : 4,741.89 = 2,908.41 : x
  2. Step 2: Convert to fraction form
    3,438.42/4,741.89 = 2,908.41/x
  3. Step 3: Cross multiply
    3,438.42x = 4,741.89 × 2,908.41
  4. Step 4: Simplify right side
    3,438.42x = 13,791,360.29
  5. Step 5: Solve for x
    x = 13,791,360.29/3,438.42
  6. Step 6: Final answer
    x = 4,010.96

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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.