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Finding the Fourth Proportional to 10,113.73, 15,179.10 and 5,188.12

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Solution

The fourth proportional to 10,113.73, 15,179.10 and 5,188.12 is: 7,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.73 : 15,179.10 = 5,188.12 : x
  2. Step 2: Convert to fraction form
    10,113.73/15,179.10 = 5,188.12/x
  3. Step 3: Cross multiply
    10,113.73x = 15,179.10 × 5,188.12
  4. Step 4: Simplify right side
    10,113.73x = 78,750,992.29
  5. Step 5: Solve for x
    x = 78,750,992.29/10,113.73
  6. Step 6: Final answer
    x = 7,786.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.