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Finding the Fourth Proportional to 15.99, 23.94 and 12.78

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Solution

The fourth proportional to 15.99, 23.94 and 12.78 is: 19.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.99 : 23.94 = 12.78 : x
  2. Step 2: Convert to fraction form
    15.99/23.94 = 12.78/x
  3. Step 3: Cross multiply
    15.99x = 23.94 × 12.78
  4. Step 4: Simplify right side
    15.99x = 305.95
  5. Step 5: Solve for x
    x = 305.95/15.99
  6. Step 6: Final answer
    x = 19.13

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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.