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Finding the Fourth Proportional to 13,823.45, 19,074.44 and 8,158.44

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Solution

The fourth proportional to 13,823.45, 19,074.44 and 8,158.44 is: 11,257.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.45 : 19,074.44 = 8,158.44 : x
  2. Step 2: Convert to fraction form
    13,823.45/19,074.44 = 8,158.44/x
  3. Step 3: Cross multiply
    13,823.45x = 19,074.44 × 8,158.44
  4. Step 4: Simplify right side
    13,823.45x = 155,617,578.90
  5. Step 5: Solve for x
    x = 155,617,578.90/13,823.45
  6. Step 6: Final answer
    x = 11,257.51

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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.