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Finding the Fourth Proportional to 3,912, 5,398.74 and 2,143.68

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Solution

The fourth proportional to 3,912, 5,398.74 and 2,143.68 is: 2,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912 : 5,398.74 = 2,143.68 : x
  2. Step 2: Convert to fraction form
    3,912/5,398.74 = 2,143.68/x
  3. Step 3: Cross multiply
    3,912x = 5,398.74 × 2,143.68
  4. Step 4: Simplify right side
    3,912x = 11,573,170.96
  5. Step 5: Solve for x
    x = 11,573,170.96/3,912
  6. Step 6: Final answer
    x = 2,958.38

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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.