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Finding the Fourth Proportional to 3,861.54, 5,764.35 and 3,394.46

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Solution

The fourth proportional to 3,861.54, 5,764.35 and 3,394.46 is: 5,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.54 : 5,764.35 = 3,394.46 : x
  2. Step 2: Convert to fraction form
    3,861.54/5,764.35 = 3,394.46/x
  3. Step 3: Cross multiply
    3,861.54x = 5,764.35 × 3,394.46
  4. Step 4: Simplify right side
    3,861.54x = 19,566,855.50
  5. Step 5: Solve for x
    x = 19,566,855.50/3,861.54
  6. Step 6: Final answer
    x = 5,067.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.