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Finding the Fourth Proportional to 13.09, 19.56 and 9.67

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Solution

The fourth proportional to 13.09, 19.56 and 9.67 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.09 : 19.56 = 9.67 : x
  2. Step 2: Convert to fraction form
    13.09/19.56 = 9.67/x
  3. Step 3: Cross multiply
    13.09x = 19.56 × 9.67
  4. Step 4: Simplify right side
    13.09x = 189.13
  5. Step 5: Solve for x
    x = 189.13/13.09
  6. Step 6: Final answer
    x = 14.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.