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Finding the Fourth Proportional to 18.64, 27.86 and 15

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Solution

The fourth proportional to 18.64, 27.86 and 15 is: 22.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.64 : 27.86 = 15 : x
  2. Step 2: Convert to fraction form
    18.64/27.86 = 15/x
  3. Step 3: Cross multiply
    18.64x = 27.86 × 15
  4. Step 4: Simplify right side
    18.64x = 417.90
  5. Step 5: Solve for x
    x = 417.90/18.64
  6. Step 6: Final answer
    x = 22.42

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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.