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Finding the Fourth Proportional to 23.84, 35.76 and 7.80

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Solution

The fourth proportional to 23.84, 35.76 and 7.80 is: 11.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.84 : 35.76 = 7.80 : x
  2. Step 2: Convert to fraction form
    23.84/35.76 = 7.80/x
  3. Step 3: Cross multiply
    23.84x = 35.76 × 7.80
  4. Step 4: Simplify right side
    23.84x = 279.08
  5. Step 5: Solve for x
    x = 279.08/23.84
  6. Step 6: Final answer
    x = 11.71

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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.