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Finding the Fourth Proportional to 3,993.47, 5,498.44 and 3,394.78

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Solution

The fourth proportional to 3,993.47, 5,498.44 and 3,394.78 is: 4,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.47 : 5,498.44 = 3,394.78 : x
  2. Step 2: Convert to fraction form
    3,993.47/5,498.44 = 3,394.78/x
  3. Step 3: Cross multiply
    3,993.47x = 5,498.44 × 3,394.78
  4. Step 4: Simplify right side
    3,993.47x = 18,665,971.91
  5. Step 5: Solve for x
    x = 18,665,971.91/3,993.47
  6. Step 6: Final answer
    x = 4,674.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.