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Finding the Fourth Proportional to 3,787.84, 5,223.66 and 3,003.76

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Solution

The fourth proportional to 3,787.84, 5,223.66 and 3,003.76 is: 4,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.84 : 5,223.66 = 3,003.76 : x
  2. Step 2: Convert to fraction form
    3,787.84/5,223.66 = 3,003.76/x
  3. Step 3: Cross multiply
    3,787.84x = 5,223.66 × 3,003.76
  4. Step 4: Simplify right side
    3,787.84x = 15,690,620.96
  5. Step 5: Solve for x
    x = 15,690,620.96/3,787.84
  6. Step 6: Final answer
    x = 4,142.37

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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.