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Finding the Fourth Proportional to 3,895.12, 5,865.99 and 3,414

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Solution

The fourth proportional to 3,895.12, 5,865.99 and 3,414 is: 5,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.12 : 5,865.99 = 3,414 : x
  2. Step 2: Convert to fraction form
    3,895.12/5,865.99 = 3,414/x
  3. Step 3: Cross multiply
    3,895.12x = 5,865.99 × 3,414
  4. Step 4: Simplify right side
    3,895.12x = 20,026,489.86
  5. Step 5: Solve for x
    x = 20,026,489.86/3,895.12
  6. Step 6: Final answer
    x = 5,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.