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Finding the Fourth Proportional to 3,203.84, 4,805.34 and 1,257.42

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Solution

The fourth proportional to 3,203.84, 4,805.34 and 1,257.42 is: 1,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.84 : 4,805.34 = 1,257.42 : x
  2. Step 2: Convert to fraction form
    3,203.84/4,805.34 = 1,257.42/x
  3. Step 3: Cross multiply
    3,203.84x = 4,805.34 × 1,257.42
  4. Step 4: Simplify right side
    3,203.84x = 6,042,330.62
  5. Step 5: Solve for x
    x = 6,042,330.62/3,203.84
  6. Step 6: Final answer
    x = 1,885.97

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1.5x scale

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.