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Finding the Fourth Proportional to 7,190.80, 9,912.85 and 5,197.80

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Solution

The fourth proportional to 7,190.80, 9,912.85 and 5,197.80 is: 7,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.80 : 9,912.85 = 5,197.80 : x
  2. Step 2: Convert to fraction form
    7,190.80/9,912.85 = 5,197.80/x
  3. Step 3: Cross multiply
    7,190.80x = 9,912.85 × 5,197.80
  4. Step 4: Simplify right side
    7,190.80x = 51,525,011.73
  5. Step 5: Solve for x
    x = 51,525,011.73/7,190.80
  6. Step 6: Final answer
    x = 7,165.41

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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.