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Finding the Fourth Proportional to 3,254.58, 4,881.82 and 789.42

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Solution

The fourth proportional to 3,254.58, 4,881.82 and 789.42 is: 1,184.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.58 : 4,881.82 = 789.42 : x
  2. Step 2: Convert to fraction form
    3,254.58/4,881.82 = 789.42/x
  3. Step 3: Cross multiply
    3,254.58x = 4,881.82 × 789.42
  4. Step 4: Simplify right side
    3,254.58x = 3,853,806.34
  5. Step 5: Solve for x
    x = 3,853,806.34/3,254.58
  6. Step 6: Final answer
    x = 1,184.12

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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.