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Finding the Fourth Proportional to 31,147.44, 42,989.04 and 18,573

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Solution

The fourth proportional to 31,147.44, 42,989.04 and 18,573 is: 25,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.44 : 42,989.04 = 18,573 : x
  2. Step 2: Convert to fraction form
    31,147.44/42,989.04 = 18,573/x
  3. Step 3: Cross multiply
    31,147.44x = 42,989.04 × 18,573
  4. Step 4: Simplify right side
    31,147.44x = 798,435,439.92
  5. Step 5: Solve for x
    x = 798,435,439.92/31,147.44
  6. Step 6: Final answer
    x = 25,634.06

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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.