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Finding the Fourth Proportional to 22,560, 33,840 and 6,144

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Solution

The fourth proportional to 22,560, 33,840 and 6,144 is: 9,216

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,560 : 33,840 = 6,144 : x
  2. Step 2: Convert to fraction form
    22,560/33,840 = 6,144/x
  3. Step 3: Cross multiply
    22,560x = 33,840 × 6,144
  4. Step 4: Simplify right side
    22,560x = 207,912,960
  5. Step 5: Solve for x
    x = 207,912,960/22,560
  6. Step 6: Final answer
    x = 9,216

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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.