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Finding the Fourth Proportional to 13,767.84, 20,625.84 and 6,847.20

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Solution

The fourth proportional to 13,767.84, 20,625.84 and 6,847.20 is: 10,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.84 : 20,625.84 = 6,847.20 : x
  2. Step 2: Convert to fraction form
    13,767.84/20,625.84 = 6,847.20/x
  3. Step 3: Cross multiply
    13,767.84x = 20,625.84 × 6,847.20
  4. Step 4: Simplify right side
    13,767.84x = 141,229,251.65
  5. Step 5: Solve for x
    x = 141,229,251.65/13,767.84
  6. Step 6: Final answer
    x = 10,257.91

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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.