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Finding the Fourth Proportional to 8.94, 13.40 and 3.80

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Solution

The fourth proportional to 8.94, 13.40 and 3.80 is: 5.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.94 : 13.40 = 3.80 : x
  2. Step 2: Convert to fraction form
    8.94/13.40 = 3.80/x
  3. Step 3: Cross multiply
    8.94x = 13.40 × 3.80
  4. Step 4: Simplify right side
    8.94x = 50.86
  5. Step 5: Solve for x
    x = 50.86/8.94
  6. Step 6: Final answer
    x = 5.69

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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.