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Finding the Fourth Proportional to 10.21, 14 and 9.85

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Solution

The fourth proportional to 10.21, 14 and 9.85 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.21 : 14 = 9.85 : x
  2. Step 2: Convert to fraction form
    10.21/14 = 9.85/x
  3. Step 3: Cross multiply
    10.21x = 14 × 9.85
  4. Step 4: Simplify right side
    10.21x = 137.90
  5. Step 5: Solve for x
    x = 137.90/10.21
  6. Step 6: Final answer
    x = 13.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.