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Finding the Fourth Proportional to 31.79, 47.38 and 31.64

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Solution

The fourth proportional to 31.79, 47.38 and 31.64 is: 47.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.79 : 47.38 = 31.64 : x
  2. Step 2: Convert to fraction form
    31.79/47.38 = 31.64/x
  3. Step 3: Cross multiply
    31.79x = 47.38 × 31.64
  4. Step 4: Simplify right side
    31.79x = 1,499.14
  5. Step 5: Solve for x
    x = 1,499.14/31.79
  6. Step 6: Final answer
    x = 47.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.