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Finding the Fourth Proportional to 10,167.96, 15,245.91 and 3,145.89

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Solution

The fourth proportional to 10,167.96, 15,245.91 and 3,145.89 is: 4,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.96 : 15,245.91 = 3,145.89 : x
  2. Step 2: Convert to fraction form
    10,167.96/15,245.91 = 3,145.89/x
  3. Step 3: Cross multiply
    10,167.96x = 15,245.91 × 3,145.89
  4. Step 4: Simplify right side
    10,167.96x = 47,961,940.08
  5. Step 5: Solve for x
    x = 47,961,940.08/10,167.96
  6. Step 6: Final answer
    x = 4,716.97

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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.