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Finding the Fourth Proportional to 33.84, 47.28 and 33.84

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Solution

The fourth proportional to 33.84, 47.28 and 33.84 is: 47.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.84 : 47.28 = 33.84 : x
  2. Step 2: Convert to fraction form
    33.84/47.28 = 33.84/x
  3. Step 3: Cross multiply
    33.84x = 47.28 × 33.84
  4. Step 4: Simplify right side
    33.84x = 1,599.96
  5. Step 5: Solve for x
    x = 1,599.96/33.84
  6. Step 6: Final answer
    x = 47.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.