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Finding the Fourth Proportional to 5,219.91, 7,203.97 and 2,982.12

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Solution

The fourth proportional to 5,219.91, 7,203.97 and 2,982.12 is: 4,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.91 : 7,203.97 = 2,982.12 : x
  2. Step 2: Convert to fraction form
    5,219.91/7,203.97 = 2,982.12/x
  3. Step 3: Cross multiply
    5,219.91x = 7,203.97 × 2,982.12
  4. Step 4: Simplify right side
    5,219.91x = 21,483,103.02
  5. Step 5: Solve for x
    x = 21,483,103.02/5,219.91
  6. Step 6: Final answer
    x = 4,115.61

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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.