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Finding the Fourth Proportional to 12.64, 17.43 and 10.21

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Solution

The fourth proportional to 12.64, 17.43 and 10.21 is: 14.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.64 : 17.43 = 10.21 : x
  2. Step 2: Convert to fraction form
    12.64/17.43 = 10.21/x
  3. Step 3: Cross multiply
    12.64x = 17.43 × 10.21
  4. Step 4: Simplify right side
    12.64x = 177.96
  5. Step 5: Solve for x
    x = 177.96/12.64
  6. Step 6: Final answer
    x = 14.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.