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Finding the Fourth Proportional to 3,937, 5,433.20 and 2,168.44

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Solution

The fourth proportional to 3,937, 5,433.20 and 2,168.44 is: 2,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937 : 5,433.20 = 2,168.44 : x
  2. Step 2: Convert to fraction form
    3,937/5,433.20 = 2,168.44/x
  3. Step 3: Cross multiply
    3,937x = 5,433.20 × 2,168.44
  4. Step 4: Simplify right side
    3,937x = 11,781,568.21
  5. Step 5: Solve for x
    x = 11,781,568.21/3,937
  6. Step 6: Final answer
    x = 2,992.52

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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.