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Finding the Fourth Proportional to 13.77, 19.01 and 8.92

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Solution

The fourth proportional to 13.77, 19.01 and 8.92 is: 12.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.77 : 19.01 = 8.92 : x
  2. Step 2: Convert to fraction form
    13.77/19.01 = 8.92/x
  3. Step 3: Cross multiply
    13.77x = 19.01 × 8.92
  4. Step 4: Simplify right side
    13.77x = 169.57
  5. Step 5: Solve for x
    x = 169.57/13.77
  6. Step 6: Final answer
    x = 12.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.