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Finding the Fourth Proportional to 3,808.89, 5,713.35 and 1,342.37

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Solution

The fourth proportional to 3,808.89, 5,713.35 and 1,342.37 is: 2,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.89 : 5,713.35 = 1,342.37 : x
  2. Step 2: Convert to fraction form
    3,808.89/5,713.35 = 1,342.37/x
  3. Step 3: Cross multiply
    3,808.89x = 5,713.35 × 1,342.37
  4. Step 4: Simplify right side
    3,808.89x = 7,669,401.07
  5. Step 5: Solve for x
    x = 7,669,401.07/3,808.89
  6. Step 6: Final answer
    x = 2,013.55

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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.