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Finding the Fourth Proportional to 11,787.84, 17,682.03 and 3,887.82

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Solution

The fourth proportional to 11,787.84, 17,682.03 and 3,887.82 is: 5,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.84 : 17,682.03 = 3,887.82 : x
  2. Step 2: Convert to fraction form
    11,787.84/17,682.03 = 3,887.82/x
  3. Step 3: Cross multiply
    11,787.84x = 17,682.03 × 3,887.82
  4. Step 4: Simplify right side
    11,787.84x = 68,744,549.87
  5. Step 5: Solve for x
    x = 68,744,549.87/11,787.84
  6. Step 6: Final answer
    x = 5,831.82

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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.