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Finding the Fourth Proportional to 12.33, 17.02 and 7.48

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Solution

The fourth proportional to 12.33, 17.02 and 7.48 is: 10.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.33 : 17.02 = 7.48 : x
  2. Step 2: Convert to fraction form
    12.33/17.02 = 7.48/x
  3. Step 3: Cross multiply
    12.33x = 17.02 × 7.48
  4. Step 4: Simplify right side
    12.33x = 127.25
  5. Step 5: Solve for x
    x = 127.25/12.33
  6. Step 6: Final answer
    x = 10.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.