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Finding the Fourth Proportional to 13,776, 20,664 and 5,568

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Solution

The fourth proportional to 13,776, 20,664 and 5,568 is: 8,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 20,664 = 5,568 : x
  2. Step 2: Convert to fraction form
    13,776/20,664 = 5,568/x
  3. Step 3: Cross multiply
    13,776x = 20,664 × 5,568
  4. Step 4: Simplify right side
    13,776x = 115,057,152
  5. Step 5: Solve for x
    x = 115,057,152/13,776
  6. Step 6: Final answer
    x = 8,352

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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.