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Finding the Fourth Proportional to 13.40, 20.09 and 3.77

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Solution

The fourth proportional to 13.40, 20.09 and 3.77 is: 5.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 20.09 = 3.77 : x
  2. Step 2: Convert to fraction form
    13.40/20.09 = 3.77/x
  3. Step 3: Cross multiply
    13.40x = 20.09 × 3.77
  4. Step 4: Simplify right side
    13.40x = 75.64
  5. Step 5: Solve for x
    x = 75.64/13.40
  6. Step 6: Final answer
    x = 5.65

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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.