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Finding the Fourth Proportional to 16.58, 24.86 and 9.86

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Solution

The fourth proportional to 16.58, 24.86 and 9.86 is: 14.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.58 : 24.86 = 9.86 : x
  2. Step 2: Convert to fraction form
    16.58/24.86 = 9.86/x
  3. Step 3: Cross multiply
    16.58x = 24.86 × 9.86
  4. Step 4: Simplify right side
    16.58x = 245.02
  5. Step 5: Solve for x
    x = 245.02/16.58
  6. Step 6: Final answer
    x = 14.78

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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.