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Finding the Fourth Proportional to 8,231.83, 12,345.07 and 2,683.72

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Solution

The fourth proportional to 8,231.83, 12,345.07 and 2,683.72 is: 4,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.83 : 12,345.07 = 2,683.72 : x
  2. Step 2: Convert to fraction form
    8,231.83/12,345.07 = 2,683.72/x
  3. Step 3: Cross multiply
    8,231.83x = 12,345.07 × 2,683.72
  4. Step 4: Simplify right side
    8,231.83x = 33,130,711.26
  5. Step 5: Solve for x
    x = 33,130,711.26/8,231.83
  6. Step 6: Final answer
    x = 4,024.71

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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.