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Finding the Fourth Proportional to 20,670.77, 31,005.74 and 6,819.77

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Solution

The fourth proportional to 20,670.77, 31,005.74 and 6,819.77 is: 10,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,670.77 : 31,005.74 = 6,819.77 : x
  2. Step 2: Convert to fraction form
    20,670.77/31,005.74 = 6,819.77/x
  3. Step 3: Cross multiply
    20,670.77x = 31,005.74 × 6,819.77
  4. Step 4: Simplify right side
    20,670.77x = 211,451,826.35
  5. Step 5: Solve for x
    x = 211,451,826.35/20,670.77
  6. Step 6: Final answer
    x = 10,229.51

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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.