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Finding the Fourth Proportional to 13.66, 18.86 and 7.52

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Solution

The fourth proportional to 13.66, 18.86 and 7.52 is: 10.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.66 : 18.86 = 7.52 : x
  2. Step 2: Convert to fraction form
    13.66/18.86 = 7.52/x
  3. Step 3: Cross multiply
    13.66x = 18.86 × 7.52
  4. Step 4: Simplify right side
    13.66x = 141.90
  5. Step 5: Solve for x
    x = 141.90/13.66
  6. Step 6: Final answer
    x = 10.38

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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.