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Finding the Fourth Proportional to 10,911.96, 16,369.44 and 3,513.96

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Solution

The fourth proportional to 10,911.96, 16,369.44 and 3,513.96 is: 5,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.96 : 16,369.44 = 3,513.96 : x
  2. Step 2: Convert to fraction form
    10,911.96/16,369.44 = 3,513.96/x
  3. Step 3: Cross multiply
    10,911.96x = 16,369.44 × 3,513.96
  4. Step 4: Simplify right side
    10,911.96x = 57,521,557.38
  5. Step 5: Solve for x
    x = 57,521,557.38/10,911.96
  6. Step 6: Final answer
    x = 5,271.42

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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.