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Finding the Fourth Proportional to 11,513.69, 17,268.81 and 3,192.83

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Solution

The fourth proportional to 11,513.69, 17,268.81 and 3,192.83 is: 4,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.69 : 17,268.81 = 3,192.83 : x
  2. Step 2: Convert to fraction form
    11,513.69/17,268.81 = 3,192.83/x
  3. Step 3: Cross multiply
    11,513.69x = 17,268.81 × 3,192.83
  4. Step 4: Simplify right side
    11,513.69x = 55,136,417.80
  5. Step 5: Solve for x
    x = 55,136,417.80/11,513.69
  6. Step 6: Final answer
    x = 4,788.77

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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.