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Finding the Fourth Proportional to 31,675, 43,712.22 and 20,516.44

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Solution

The fourth proportional to 31,675, 43,712.22 and 20,516.44 is: 28,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,675 : 43,712.22 = 20,516.44 : x
  2. Step 2: Convert to fraction form
    31,675/43,712.22 = 20,516.44/x
  3. Step 3: Cross multiply
    31,675x = 43,712.22 × 20,516.44
  4. Step 4: Simplify right side
    31,675x = 896,819,138.90
  5. Step 5: Solve for x
    x = 896,819,138.90/31,675
  6. Step 6: Final answer
    x = 28,313.15

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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.