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Finding the Fourth Proportional to 5,137.73, 7,706.58 and 2,019.20

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Solution

The fourth proportional to 5,137.73, 7,706.58 and 2,019.20 is: 3,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.73 : 7,706.58 = 2,019.20 : x
  2. Step 2: Convert to fraction form
    5,137.73/7,706.58 = 2,019.20/x
  3. Step 3: Cross multiply
    5,137.73x = 7,706.58 × 2,019.20
  4. Step 4: Simplify right side
    5,137.73x = 15,561,087.80
  5. Step 5: Solve for x
    x = 15,561,087.80/5,137.73
  6. Step 6: Final answer
    x = 3,028.79

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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.