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Finding the Fourth Proportional to 21,696, 32,544 and 5,280

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Solution

The fourth proportional to 21,696, 32,544 and 5,280 is: 7,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696 : 32,544 = 5,280 : x
  2. Step 2: Convert to fraction form
    21,696/32,544 = 5,280/x
  3. Step 3: Cross multiply
    21,696x = 32,544 × 5,280
  4. Step 4: Simplify right side
    21,696x = 171,832,320
  5. Step 5: Solve for x
    x = 171,832,320/21,696
  6. Step 6: Final answer
    x = 7,920

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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.