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Finding the Fourth Proportional to 13,978.08, 20,967.12 and 4,744.08

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Solution

The fourth proportional to 13,978.08, 20,967.12 and 4,744.08 is: 7,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.08 : 20,967.12 = 4,744.08 : x
  2. Step 2: Convert to fraction form
    13,978.08/20,967.12 = 4,744.08/x
  3. Step 3: Cross multiply
    13,978.08x = 20,967.12 × 4,744.08
  4. Step 4: Simplify right side
    13,978.08x = 99,469,694.65
  5. Step 5: Solve for x
    x = 99,469,694.65/13,978.08
  6. Step 6: Final answer
    x = 7,116.12

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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.