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Finding the Fourth Proportional to 3,882.64, 5,359.22 and 3,684.24

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Solution

The fourth proportional to 3,882.64, 5,359.22 and 3,684.24 is: 5,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.64 : 5,359.22 = 3,684.24 : x
  2. Step 2: Convert to fraction form
    3,882.64/5,359.22 = 3,684.24/x
  3. Step 3: Cross multiply
    3,882.64x = 5,359.22 × 3,684.24
  4. Step 4: Simplify right side
    3,882.64x = 19,744,652.69
  5. Step 5: Solve for x
    x = 19,744,652.69/3,882.64
  6. Step 6: Final answer
    x = 5,085.37

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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.