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Finding the Fourth Proportional to 13,978.24, 20,967.36 and 4,744

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Solution

The fourth proportional to 13,978.24, 20,967.36 and 4,744 is: 7,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.24 : 20,967.36 = 4,744 : x
  2. Step 2: Convert to fraction form
    13,978.24/20,967.36 = 4,744/x
  3. Step 3: Cross multiply
    13,978.24x = 20,967.36 × 4,744
  4. Step 4: Simplify right side
    13,978.24x = 99,469,155.84
  5. Step 5: Solve for x
    x = 99,469,155.84/13,978.24
  6. Step 6: Final answer
    x = 7,116

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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.