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Finding the Fourth Proportional to 8,289.94, 12,431.01 and 3,355.83

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Solution

The fourth proportional to 8,289.94, 12,431.01 and 3,355.83 is: 5,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.94 : 12,431.01 = 3,355.83 : x
  2. Step 2: Convert to fraction form
    8,289.94/12,431.01 = 3,355.83/x
  3. Step 3: Cross multiply
    8,289.94x = 12,431.01 × 3,355.83
  4. Step 4: Simplify right side
    8,289.94x = 41,716,294.13
  5. Step 5: Solve for x
    x = 41,716,294.13/8,289.94
  6. Step 6: Final answer
    x = 5,032.16

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Why These Related Problems?

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