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Finding the Fourth Proportional to 20,872.86, 31,312.22 and 6,082.86

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Solution

The fourth proportional to 20,872.86, 31,312.22 and 6,082.86 is: 9,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.86 : 31,312.22 = 6,082.86 : x
  2. Step 2: Convert to fraction form
    20,872.86/31,312.22 = 6,082.86/x
  3. Step 3: Cross multiply
    20,872.86x = 31,312.22 × 6,082.86
  4. Step 4: Simplify right side
    20,872.86x = 190,467,850.55
  5. Step 5: Solve for x
    x = 190,467,850.55/20,872.86
  6. Step 6: Final answer
    x = 9,125.14

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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.