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Finding the Fourth Proportional to 31.56, 47.29 and 23.94

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Solution

The fourth proportional to 31.56, 47.29 and 23.94 is: 35.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.56 : 47.29 = 23.94 : x
  2. Step 2: Convert to fraction form
    31.56/47.29 = 23.94/x
  3. Step 3: Cross multiply
    31.56x = 47.29 × 23.94
  4. Step 4: Simplify right side
    31.56x = 1,132.12
  5. Step 5: Solve for x
    x = 1,132.12/31.56
  6. Step 6: Final answer
    x = 35.87

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