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Finding the Fourth Proportional to 20.64, 30.98 and 13.04

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Solution

The fourth proportional to 20.64, 30.98 and 13.04 is: 19.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.64 : 30.98 = 13.04 : x
  2. Step 2: Convert to fraction form
    20.64/30.98 = 13.04/x
  3. Step 3: Cross multiply
    20.64x = 30.98 × 13.04
  4. Step 4: Simplify right side
    20.64x = 403.98
  5. Step 5: Solve for x
    x = 403.98/20.64
  6. Step 6: Final answer
    x = 19.57

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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.