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Finding the Fourth Proportional to 6,879.44, 9,500.82 and 5,688.74

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Solution

The fourth proportional to 6,879.44, 9,500.82 and 5,688.74 is: 7,856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.44 : 9,500.82 = 5,688.74 : x
  2. Step 2: Convert to fraction form
    6,879.44/9,500.82 = 5,688.74/x
  3. Step 3: Cross multiply
    6,879.44x = 9,500.82 × 5,688.74
  4. Step 4: Simplify right side
    6,879.44x = 54,047,694.77
  5. Step 5: Solve for x
    x = 54,047,694.77/6,879.44
  6. Step 6: Final answer
    x = 7,856.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.