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Finding the Fourth Proportional to 3,886.65, 5,850.97 and 3,542.20

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Solution

The fourth proportional to 3,886.65, 5,850.97 and 3,542.20 is: 5,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.65 : 5,850.97 = 3,542.20 : x
  2. Step 2: Convert to fraction form
    3,886.65/5,850.97 = 3,542.20/x
  3. Step 3: Cross multiply
    3,886.65x = 5,850.97 × 3,542.20
  4. Step 4: Simplify right side
    3,886.65x = 20,725,282.45
  5. Step 5: Solve for x
    x = 20,725,282.45/3,886.65
  6. Step 6: Final answer
    x = 5,332.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.