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Finding the Fourth Proportional to 20,720.72, 31,074.36 and 6,866

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Solution

The fourth proportional to 20,720.72, 31,074.36 and 6,866 is: 10,296.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,720.72 : 31,074.36 = 6,866 : x
  2. Step 2: Convert to fraction form
    20,720.72/31,074.36 = 6,866/x
  3. Step 3: Cross multiply
    20,720.72x = 31,074.36 × 6,866
  4. Step 4: Simplify right side
    20,720.72x = 213,356,555.76
  5. Step 5: Solve for x
    x = 213,356,555.76/20,720.72
  6. Step 6: Final answer
    x = 10,296.77

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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.