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Finding the Fourth Proportional to 6,520.91, 9,781.36 and 2,821.23

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Solution

The fourth proportional to 6,520.91, 9,781.36 and 2,821.23 is: 4,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.91 : 9,781.36 = 2,821.23 : x
  2. Step 2: Convert to fraction form
    6,520.91/9,781.36 = 2,821.23/x
  3. Step 3: Cross multiply
    6,520.91x = 9,781.36 × 2,821.23
  4. Step 4: Simplify right side
    6,520.91x = 27,595,459.22
  5. Step 5: Solve for x
    x = 27,595,459.22/6,520.91
  6. Step 6: Final answer
    x = 4,231.85

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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.