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Finding the Fourth Proportional to 31.87, 44 and 24.09

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Solution

The fourth proportional to 31.87, 44 and 24.09 is: 33.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.87 : 44 = 24.09 : x
  2. Step 2: Convert to fraction form
    31.87/44 = 24.09/x
  3. Step 3: Cross multiply
    31.87x = 44 × 24.09
  4. Step 4: Simplify right side
    31.87x = 1,059.96
  5. Step 5: Solve for x
    x = 1,059.96/31.87
  6. Step 6: Final answer
    x = 33.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.