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Finding the Fourth Proportional to 3,859.64, 5,787.24 and 3,398.36

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Solution

The fourth proportional to 3,859.64, 5,787.24 and 3,398.36 is: 5,095.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.64 : 5,787.24 = 3,398.36 : x
  2. Step 2: Convert to fraction form
    3,859.64/5,787.24 = 3,398.36/x
  3. Step 3: Cross multiply
    3,859.64x = 5,787.24 × 3,398.36
  4. Step 4: Simplify right side
    3,859.64x = 19,667,124.93
  5. Step 5: Solve for x
    x = 19,667,124.93/3,859.64
  6. Step 6: Final answer
    x = 5,095.59

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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.