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Finding the Fourth Proportional to 12.28, 18.35 and 9.04

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Solution

The fourth proportional to 12.28, 18.35 and 9.04 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.28 : 18.35 = 9.04 : x
  2. Step 2: Convert to fraction form
    12.28/18.35 = 9.04/x
  3. Step 3: Cross multiply
    12.28x = 18.35 × 9.04
  4. Step 4: Simplify right side
    12.28x = 165.88
  5. Step 5: Solve for x
    x = 165.88/12.28
  6. Step 6: Final answer
    x = 13.51

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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.