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Finding the Fourth Proportional to 15.27, 21.06 and 11.77

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Solution

The fourth proportional to 15.27, 21.06 and 11.77 is: 16.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.27 : 21.06 = 11.77 : x
  2. Step 2: Convert to fraction form
    15.27/21.06 = 11.77/x
  3. Step 3: Cross multiply
    15.27x = 21.06 × 11.77
  4. Step 4: Simplify right side
    15.27x = 247.71
  5. Step 5: Solve for x
    x = 247.71/15.27
  6. Step 6: Final answer
    x = 16.23

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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.