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Finding the Fourth Proportional to 31.65, 47.76 and 30.39

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Solution

The fourth proportional to 31.65, 47.76 and 30.39 is: 45.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.65 : 47.76 = 30.39 : x
  2. Step 2: Convert to fraction form
    31.65/47.76 = 30.39/x
  3. Step 3: Cross multiply
    31.65x = 47.76 × 30.39
  4. Step 4: Simplify right side
    31.65x = 1,451.43
  5. Step 5: Solve for x
    x = 1,451.43/31.65
  6. Step 6: Final answer
    x = 45.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.