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Finding the Fourth Proportional to 13,858.84, 20,787.62 and 5,093.11

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Solution

The fourth proportional to 13,858.84, 20,787.62 and 5,093.11 is: 7,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.84 : 20,787.62 = 5,093.11 : x
  2. Step 2: Convert to fraction form
    13,858.84/20,787.62 = 5,093.11/x
  3. Step 3: Cross multiply
    13,858.84x = 20,787.62 × 5,093.11
  4. Step 4: Simplify right side
    13,858.84x = 105,873,635.30
  5. Step 5: Solve for x
    x = 105,873,635.30/13,858.84
  6. Step 6: Final answer
    x = 7,639.43

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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.