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Finding the Fourth Proportional to 21,984, 32,976 and 5,568

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Solution

The fourth proportional to 21,984, 32,976 and 5,568 is: 8,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 32,976 = 5,568 : x
  2. Step 2: Convert to fraction form
    21,984/32,976 = 5,568/x
  3. Step 3: Cross multiply
    21,984x = 32,976 × 5,568
  4. Step 4: Simplify right side
    21,984x = 183,610,368
  5. Step 5: Solve for x
    x = 183,610,368/21,984
  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.