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Finding the Fourth Proportional to 12,323.94, 16,989.32 and 8,781

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Solution

The fourth proportional to 12,323.94, 16,989.32 and 8,781 is: 12,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.94 : 16,989.32 = 8,781 : x
  2. Step 2: Convert to fraction form
    12,323.94/16,989.32 = 8,781/x
  3. Step 3: Cross multiply
    12,323.94x = 16,989.32 × 8,781
  4. Step 4: Simplify right side
    12,323.94x = 149,183,218.92
  5. Step 5: Solve for x
    x = 149,183,218.92/12,323.94
  6. Step 6: Final answer
    x = 12,105.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.