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Finding the Fourth Proportional to 3,789.33, 5,684.31 and 1,157.42

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Solution

The fourth proportional to 3,789.33, 5,684.31 and 1,157.42 is: 1,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.33 : 5,684.31 = 1,157.42 : x
  2. Step 2: Convert to fraction form
    3,789.33/5,684.31 = 1,157.42/x
  3. Step 3: Cross multiply
    3,789.33x = 5,684.31 × 1,157.42
  4. Step 4: Simplify right side
    3,789.33x = 6,579,134.08
  5. Step 5: Solve for x
    x = 6,579,134.08/3,789.33
  6. Step 6: Final answer
    x = 1,736.23

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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.