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Finding the Fourth Proportional to 12.28, 18.32 and 9.40

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Solution

The fourth proportional to 12.28, 18.32 and 9.40 is: 14.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.28 : 18.32 = 9.40 : x
  2. Step 2: Convert to fraction form
    12.28/18.32 = 9.40/x
  3. Step 3: Cross multiply
    12.28x = 18.32 × 9.40
  4. Step 4: Simplify right side
    12.28x = 172.21
  5. Step 5: Solve for x
    x = 172.21/12.28
  6. Step 6: Final answer
    x = 14.02

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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.