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Finding the Fourth Proportional to 8,500.83, 11,727.87 and 6,268.01

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Solution

The fourth proportional to 8,500.83, 11,727.87 and 6,268.01 is: 8,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.83 : 11,727.87 = 6,268.01 : x
  2. Step 2: Convert to fraction form
    8,500.83/11,727.87 = 6,268.01/x
  3. Step 3: Cross multiply
    8,500.83x = 11,727.87 × 6,268.01
  4. Step 4: Simplify right side
    8,500.83x = 73,510,406.44
  5. Step 5: Solve for x
    x = 73,510,406.44/8,500.83
  6. Step 6: Final answer
    x = 8,647.44

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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.