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Finding the Fourth Proportional to 11,429.92, 17,146.80 and 3,641.12

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Solution

The fourth proportional to 11,429.92, 17,146.80 and 3,641.12 is: 5,462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.92 : 17,146.80 = 3,641.12 : x
  2. Step 2: Convert to fraction form
    11,429.92/17,146.80 = 3,641.12/x
  3. Step 3: Cross multiply
    11,429.92x = 17,146.80 × 3,641.12
  4. Step 4: Simplify right side
    11,429.92x = 62,433,556.42
  5. Step 5: Solve for x
    x = 62,433,556.42/11,429.92
  6. Step 6: Final answer
    x = 5,462.29

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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.