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Finding the Fourth Proportional to 3,860.22, 5,790.31 and 938.54

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Solution

The fourth proportional to 3,860.22, 5,790.31 and 938.54 is: 1,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.22 : 5,790.31 = 938.54 : x
  2. Step 2: Convert to fraction form
    3,860.22/5,790.31 = 938.54/x
  3. Step 3: Cross multiply
    3,860.22x = 5,790.31 × 938.54
  4. Step 4: Simplify right side
    3,860.22x = 5,434,437.55
  5. Step 5: Solve for x
    x = 5,434,437.55/3,860.22
  6. Step 6: Final answer
    x = 1,407.81

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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.