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Finding the Fourth Proportional to 34.48, 51.72 and 13.11

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Solution

The fourth proportional to 34.48, 51.72 and 13.11 is: 19.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.48 : 51.72 = 13.11 : x
  2. Step 2: Convert to fraction form
    34.48/51.72 = 13.11/x
  3. Step 3: Cross multiply
    34.48x = 51.72 × 13.11
  4. Step 4: Simplify right side
    34.48x = 678.05
  5. Step 5: Solve for x
    x = 678.05/34.48
  6. Step 6: Final answer
    x = 19.67

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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.