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Finding the Fourth Proportional to 13.86, 19.04 and 11.39

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Solution

The fourth proportional to 13.86, 19.04 and 11.39 is: 15.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.86 : 19.04 = 11.39 : x
  2. Step 2: Convert to fraction form
    13.86/19.04 = 11.39/x
  3. Step 3: Cross multiply
    13.86x = 19.04 × 11.39
  4. Step 4: Simplify right side
    13.86x = 216.71
  5. Step 5: Solve for x
    x = 216.71/13.86
  6. Step 6: Final answer
    x = 15.64

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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.