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Finding the Fourth Proportional to 7.53, 11.26 and 7.48

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Solution

The fourth proportional to 7.53, 11.26 and 7.48 is: 11.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.53 : 11.26 = 7.48 : x
  2. Step 2: Convert to fraction form
    7.53/11.26 = 7.48/x
  3. Step 3: Cross multiply
    7.53x = 11.26 × 7.48
  4. Step 4: Simplify right side
    7.53x = 84.22
  5. Step 5: Solve for x
    x = 84.22/7.53
  6. Step 6: Final answer
    x = 11.19

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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.