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Finding the Fourth Proportional to 11.53, 15.84 and 11.37

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Solution

The fourth proportional to 11.53, 15.84 and 11.37 is: 15.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.53 : 15.84 = 11.37 : x
  2. Step 2: Convert to fraction form
    11.53/15.84 = 11.37/x
  3. Step 3: Cross multiply
    11.53x = 15.84 × 11.37
  4. Step 4: Simplify right side
    11.53x = 180.10
  5. Step 5: Solve for x
    x = 180.10/11.53
  6. Step 6: Final answer
    x = 15.62

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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.