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Finding the Fourth Proportional to 5,679.84, 8,519.22 and 1,982.10

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Solution

The fourth proportional to 5,679.84, 8,519.22 and 1,982.10 is: 2,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.84 : 8,519.22 = 1,982.10 : x
  2. Step 2: Convert to fraction form
    5,679.84/8,519.22 = 1,982.10/x
  3. Step 3: Cross multiply
    5,679.84x = 8,519.22 × 1,982.10
  4. Step 4: Simplify right side
    5,679.84x = 16,885,945.96
  5. Step 5: Solve for x
    x = 16,885,945.96/5,679.84
  6. Step 6: Final answer
    x = 2,972.96

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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.