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Finding the Fourth Proportional to 5,219.82, 7,204.05 and 2,982.13

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Solution

The fourth proportional to 5,219.82, 7,204.05 and 2,982.13 is: 4,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.82 : 7,204.05 = 2,982.13 : x
  2. Step 2: Convert to fraction form
    5,219.82/7,204.05 = 2,982.13/x
  3. Step 3: Cross multiply
    5,219.82x = 7,204.05 × 2,982.13
  4. Step 4: Simplify right side
    5,219.82x = 21,483,395.62
  5. Step 5: Solve for x
    x = 21,483,395.62/5,219.82
  6. Step 6: Final answer
    x = 4,115.73

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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.