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Finding the Fourth Proportional to 13,578.29, 18,738.81 and 7,611.90

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Solution

The fourth proportional to 13,578.29, 18,738.81 and 7,611.90 is: 10,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.29 : 18,738.81 = 7,611.90 : x
  2. Step 2: Convert to fraction form
    13,578.29/18,738.81 = 7,611.90/x
  3. Step 3: Cross multiply
    13,578.29x = 18,738.81 × 7,611.90
  4. Step 4: Simplify right side
    13,578.29x = 142,637,947.84
  5. Step 5: Solve for x
    x = 142,637,947.84/13,578.29
  6. Step 6: Final answer
    x = 10,504.86

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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.