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Finding the Fourth Proportional to 21,822, 32,733 and 9,510

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Solution

The fourth proportional to 21,822, 32,733 and 9,510 is: 14,265

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,822 : 32,733 = 9,510 : x
  2. Step 2: Convert to fraction form
    21,822/32,733 = 9,510/x
  3. Step 3: Cross multiply
    21,822x = 32,733 × 9,510
  4. Step 4: Simplify right side
    21,822x = 311,290,830
  5. Step 5: Solve for x
    x = 311,290,830/21,822
  6. Step 6: Final answer
    x = 14,265

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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.