Home / 20,744.32-31,098.10-8,091.16

Finding the Fourth Proportional to 20,744.32, 31,098.10 and 8,091.16

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Solution

The fourth proportional to 20,744.32, 31,098.10 and 8,091.16 is: 12,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.32 : 31,098.10 = 8,091.16 : x
  2. Step 2: Convert to fraction form
    20,744.32/31,098.10 = 8,091.16/x
  3. Step 3: Cross multiply
    20,744.32x = 31,098.10 × 8,091.16
  4. Step 4: Simplify right side
    20,744.32x = 251,619,702.80
  5. Step 5: Solve for x
    x = 251,619,702.80/20,744.32
  6. Step 6: Final answer
    x = 12,129.57

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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.