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Finding the Fourth Proportional to 8.75, 13.07 and 7.23

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Solution

The fourth proportional to 8.75, 13.07 and 7.23 is: 10.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.75 : 13.07 = 7.23 : x
  2. Step 2: Convert to fraction form
    8.75/13.07 = 7.23/x
  3. Step 3: Cross multiply
    8.75x = 13.07 × 7.23
  4. Step 4: Simplify right side
    8.75x = 94.52
  5. Step 5: Solve for x
    x = 94.52/8.75
  6. Step 6: Final answer
    x = 10.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.