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Finding the Fourth Proportional to 3,983.54, 5,486.10 and 3,897.44

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Solution

The fourth proportional to 3,983.54, 5,486.10 and 3,897.44 is: 5,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.54 : 5,486.10 = 3,897.44 : x
  2. Step 2: Convert to fraction form
    3,983.54/5,486.10 = 3,897.44/x
  3. Step 3: Cross multiply
    3,983.54x = 5,486.10 × 3,897.44
  4. Step 4: Simplify right side
    3,983.54x = 21,381,745.58
  5. Step 5: Solve for x
    x = 21,381,745.58/3,983.54
  6. Step 6: Final answer
    x = 5,367.52

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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.