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Finding the Fourth Proportional to 3,958.80, 5,942.07 and 1,880.20

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Solution

The fourth proportional to 3,958.80, 5,942.07 and 1,880.20 is: 2,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.80 : 5,942.07 = 1,880.20 : x
  2. Step 2: Convert to fraction form
    3,958.80/5,942.07 = 1,880.20/x
  3. Step 3: Cross multiply
    3,958.80x = 5,942.07 × 1,880.20
  4. Step 4: Simplify right side
    3,958.80x = 11,172,280.01
  5. Step 5: Solve for x
    x = 11,172,280.01/3,958.80
  6. Step 6: Final answer
    x = 2,822.14

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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.