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Finding the Fourth Proportional to 3,860.34, 5,790.52 and 938.64

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Solution

The fourth proportional to 3,860.34, 5,790.52 and 938.64 is: 1,407.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.34 : 5,790.52 = 938.64 : x
  2. Step 2: Convert to fraction form
    3,860.34/5,790.52 = 938.64/x
  3. Step 3: Cross multiply
    3,860.34x = 5,790.52 × 938.64
  4. Step 4: Simplify right side
    3,860.34x = 5,435,213.69
  5. Step 5: Solve for x
    x = 5,435,213.69/3,860.34
  6. Step 6: Final answer
    x = 1,407.96

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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.