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Finding the Fourth Proportional to 13.13, 18.00 and 12.89

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Solution

The fourth proportional to 13.13, 18.00 and 12.89 is: 17.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 18.00 = 12.89 : x
  2. Step 2: Convert to fraction form
    13.13/18.00 = 12.89/x
  3. Step 3: Cross multiply
    13.13x = 18.00 × 12.89
  4. Step 4: Simplify right side
    13.13x = 232.03
  5. Step 5: Solve for x
    x = 232.03/13.13
  6. Step 6: Final answer
    x = 17.67

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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.