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Finding the Fourth Proportional to 8,089.92, 11,150.64 and 6,408.24

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Solution

The fourth proportional to 8,089.92, 11,150.64 and 6,408.24 is: 8,832.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.92 : 11,150.64 = 6,408.24 : x
  2. Step 2: Convert to fraction form
    8,089.92/11,150.64 = 6,408.24/x
  3. Step 3: Cross multiply
    8,089.92x = 11,150.64 × 6,408.24
  4. Step 4: Simplify right side
    8,089.92x = 71,455,977.27
  5. Step 5: Solve for x
    x = 71,455,977.27/8,089.92
  6. Step 6: Final answer
    x = 8,832.72

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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.