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Finding the Fourth Proportional to 13,648.68, 20,474.48 and 3,787.99

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Solution

The fourth proportional to 13,648.68, 20,474.48 and 3,787.99 is: 5,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.68 : 20,474.48 = 3,787.99 : x
  2. Step 2: Convert to fraction form
    13,648.68/20,474.48 = 3,787.99/x
  3. Step 3: Cross multiply
    13,648.68x = 20,474.48 × 3,787.99
  4. Step 4: Simplify right side
    13,648.68x = 77,557,125.50
  5. Step 5: Solve for x
    x = 77,557,125.50/13,648.68
  6. Step 6: Final answer
    x = 5,682.39

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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.