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Finding the Fourth Proportional to 6,518.76, 9,773.28 and 3,921.09

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Solution

The fourth proportional to 6,518.76, 9,773.28 and 3,921.09 is: 5,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.76 : 9,773.28 = 3,921.09 : x
  2. Step 2: Convert to fraction form
    6,518.76/9,773.28 = 3,921.09/x
  3. Step 3: Cross multiply
    6,518.76x = 9,773.28 × 3,921.09
  4. Step 4: Simplify right side
    6,518.76x = 38,321,910.48
  5. Step 5: Solve for x
    x = 38,321,910.48/6,518.76
  6. Step 6: Final answer
    x = 5,878.71

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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.