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Finding the Fourth Proportional to 5,311.88, 7,984.02 and 5,187.14

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Solution

The fourth proportional to 5,311.88, 7,984.02 and 5,187.14 is: 7,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.88 : 7,984.02 = 5,187.14 : x
  2. Step 2: Convert to fraction form
    5,311.88/7,984.02 = 5,187.14/x
  3. Step 3: Cross multiply
    5,311.88x = 7,984.02 × 5,187.14
  4. Step 4: Simplify right side
    5,311.88x = 41,414,229.50
  5. Step 5: Solve for x
    x = 41,414,229.50/5,311.88
  6. Step 6: Final answer
    x = 7,796.53

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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.