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Finding the Fourth Proportional to 31.93, 47.90 and 15.88

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Solution

The fourth proportional to 31.93, 47.90 and 15.88 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.93 : 47.90 = 15.88 : x
  2. Step 2: Convert to fraction form
    31.93/47.90 = 15.88/x
  3. Step 3: Cross multiply
    31.93x = 47.90 × 15.88
  4. Step 4: Simplify right side
    31.93x = 760.65
  5. Step 5: Solve for x
    x = 760.65/31.93
  6. Step 6: Final answer
    x = 23.82

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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.