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Finding the Fourth Proportional to 13,647.87, 20,472.21 and 3,787.89

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Solution

The fourth proportional to 13,647.87, 20,472.21 and 3,787.89 is: 5,681.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.87 : 20,472.21 = 3,787.89 : x
  2. Step 2: Convert to fraction form
    13,647.87/20,472.21 = 3,787.89/x
  3. Step 3: Cross multiply
    13,647.87x = 20,472.21 × 3,787.89
  4. Step 4: Simplify right side
    13,647.87x = 77,546,479.54
  5. Step 5: Solve for x
    x = 77,546,479.54/13,647.87
  6. Step 6: Final answer
    x = 5,681.95

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1.5x scale

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.