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Finding the Fourth Proportional to 15.65, 23.51 and 11.85

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Solution

The fourth proportional to 15.65, 23.51 and 11.85 is: 17.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.65 : 23.51 = 11.85 : x
  2. Step 2: Convert to fraction form
    15.65/23.51 = 11.85/x
  3. Step 3: Cross multiply
    15.65x = 23.51 × 11.85
  4. Step 4: Simplify right side
    15.65x = 278.62
  5. Step 5: Solve for x
    x = 278.62/15.65
  6. Step 6: Final answer
    x = 17.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.