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Finding the Fourth Proportional to 3,859.84, 5,787.53 and 3,398.54

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Solution

The fourth proportional to 3,859.84, 5,787.53 and 3,398.54 is: 5,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.84 : 5,787.53 = 3,398.54 : x
  2. Step 2: Convert to fraction form
    3,859.84/5,787.53 = 3,398.54/x
  3. Step 3: Cross multiply
    3,859.84x = 5,787.53 × 3,398.54
  4. Step 4: Simplify right side
    3,859.84x = 19,669,135.21
  5. Step 5: Solve for x
    x = 19,669,135.21/3,859.84
  6. Step 6: Final answer
    x = 5,095.85

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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.