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Finding the Fourth Proportional to 7,249.80, 10,874.70 and 1,984.80

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Solution

The fourth proportional to 7,249.80, 10,874.70 and 1,984.80 is: 2,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.80 : 10,874.70 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    7,249.80/10,874.70 = 1,984.80/x
  3. Step 3: Cross multiply
    7,249.80x = 10,874.70 × 1,984.80
  4. Step 4: Simplify right side
    7,249.80x = 21,584,104.56
  5. Step 5: Solve for x
    x = 21,584,104.56/7,249.80
  6. Step 6: Final answer
    x = 2,977.20

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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.