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Finding the Fourth Proportional to 21,144, 31,716 and 6,552

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Solution

The fourth proportional to 21,144, 31,716 and 6,552 is: 9,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144 : 31,716 = 6,552 : x
  2. Step 2: Convert to fraction form
    21,144/31,716 = 6,552/x
  3. Step 3: Cross multiply
    21,144x = 31,716 × 6,552
  4. Step 4: Simplify right side
    21,144x = 207,803,232
  5. Step 5: Solve for x
    x = 207,803,232/21,144
  6. Step 6: Final answer
    x = 9,828

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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.