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Finding the Fourth Proportional to 8,399.58, 12,582.96 and 6,174.32

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Solution

The fourth proportional to 8,399.58, 12,582.96 and 6,174.32 is: 9,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.58 : 12,582.96 = 6,174.32 : x
  2. Step 2: Convert to fraction form
    8,399.58/12,582.96 = 6,174.32/x
  3. Step 3: Cross multiply
    8,399.58x = 12,582.96 × 6,174.32
  4. Step 4: Simplify right side
    8,399.58x = 77,691,158.67
  5. Step 5: Solve for x
    x = 77,691,158.67/8,399.58
  6. Step 6: Final answer
    x = 9,249.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.