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Finding the Fourth Proportional to 8,591.68, 11,856.30 and 5,057.32

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Solution

The fourth proportional to 8,591.68, 11,856.30 and 5,057.32 is: 6,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,591.68 : 11,856.30 = 5,057.32 : x
  2. Step 2: Convert to fraction form
    8,591.68/11,856.30 = 5,057.32/x
  3. Step 3: Cross multiply
    8,591.68x = 11,856.30 × 5,057.32
  4. Step 4: Simplify right side
    8,591.68x = 59,961,103.12
  5. Step 5: Solve for x
    x = 59,961,103.12/8,591.68
  6. Step 6: Final answer
    x = 6,978.97

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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.