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Finding the Fourth Proportional to 5,757.71, 7,940.99 and 3,868.70

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Solution

The fourth proportional to 5,757.71, 7,940.99 and 3,868.70 is: 5,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.71 : 7,940.99 = 3,868.70 : x
  2. Step 2: Convert to fraction form
    5,757.71/7,940.99 = 3,868.70/x
  3. Step 3: Cross multiply
    5,757.71x = 7,940.99 × 3,868.70
  4. Step 4: Simplify right side
    5,757.71x = 30,721,277.98
  5. Step 5: Solve for x
    x = 30,721,277.98/5,757.71
  6. Step 6: Final answer
    x = 5,335.68

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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.