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Finding the Fourth Proportional to 3,941, 5,438.62 and 2,285.96

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Solution

The fourth proportional to 3,941, 5,438.62 and 2,285.96 is: 3,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941 : 5,438.62 = 2,285.96 : x
  2. Step 2: Convert to fraction form
    3,941/5,438.62 = 2,285.96/x
  3. Step 3: Cross multiply
    3,941x = 5,438.62 × 2,285.96
  4. Step 4: Simplify right side
    3,941x = 12,432,467.78
  5. Step 5: Solve for x
    x = 12,432,467.78/3,941
  6. Step 6: Final answer
    x = 3,154.65

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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.