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Finding the Fourth Proportional to 20,846.44, 31,275.51 and 8,375.22

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Solution

The fourth proportional to 20,846.44, 31,275.51 and 8,375.22 is: 12,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,846.44 : 31,275.51 = 8,375.22 : x
  2. Step 2: Convert to fraction form
    20,846.44/31,275.51 = 8,375.22/x
  3. Step 3: Cross multiply
    20,846.44x = 31,275.51 × 8,375.22
  4. Step 4: Simplify right side
    20,846.44x = 261,939,304.10
  5. Step 5: Solve for x
    x = 261,939,304.10/20,846.44
  6. Step 6: Final answer
    x = 12,565.18

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1.5x scale

Why These Related Problems?

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