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Finding the Fourth Proportional to 19,869, 29,811.66 and 8,769.80

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Solution

The fourth proportional to 19,869, 29,811.66 and 8,769.80 is: 13,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869 : 29,811.66 = 8,769.80 : x
  2. Step 2: Convert to fraction form
    19,869/29,811.66 = 8,769.80/x
  3. Step 3: Cross multiply
    19,869x = 29,811.66 × 8,769.80
  4. Step 4: Simplify right side
    19,869x = 261,442,295.87
  5. Step 5: Solve for x
    x = 261,442,295.87/19,869
  6. Step 6: Final answer
    x = 13,158.30

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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.