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Finding the Fourth Proportional to 11.57, 15.87 and 11.23

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Solution

The fourth proportional to 11.57, 15.87 and 11.23 is: 15.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 15.87 = 11.23 : x
  2. Step 2: Convert to fraction form
    11.57/15.87 = 11.23/x
  3. Step 3: Cross multiply
    11.57x = 15.87 × 11.23
  4. Step 4: Simplify right side
    11.57x = 178.08
  5. Step 5: Solve for x
    x = 178.08/11.57
  6. Step 6: Final answer
    x = 15.40

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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.