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Finding the Fourth Proportional to 13,471.68, 18,529.23 and 10,813.26

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Solution

The fourth proportional to 13,471.68, 18,529.23 and 10,813.26 is: 14,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.68 : 18,529.23 = 10,813.26 : x
  2. Step 2: Convert to fraction form
    13,471.68/18,529.23 = 10,813.26/x
  3. Step 3: Cross multiply
    13,471.68x = 18,529.23 × 10,813.26
  4. Step 4: Simplify right side
    13,471.68x = 200,361,381.59
  5. Step 5: Solve for x
    x = 200,361,381.59/13,471.68
  6. Step 6: Final answer
    x = 14,872.78

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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.