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Finding the Fourth Proportional to 9, 13.51 and 8.38

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Solution

The fourth proportional to 9, 13.51 and 8.38 is: 12.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9 : 13.51 = 8.38 : x
  2. Step 2: Convert to fraction form
    9/13.51 = 8.38/x
  3. Step 3: Cross multiply
    9x = 13.51 × 8.38
  4. Step 4: Simplify right side
    9x = 113.21
  5. Step 5: Solve for x
    x = 113.21/9
  6. Step 6: Final answer
    x = 12.58

Related Problems

Find fourth proportional to 4.50, 6.76 and 4.19
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Double scale
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Similar ratio
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1.5x scale

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.