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Finding the Fourth Proportional to 11,829, 17,743.50 and 4,812.83

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Solution

The fourth proportional to 11,829, 17,743.50 and 4,812.83 is: 7,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 17,743.50 = 4,812.83 : x
  2. Step 2: Convert to fraction form
    11,829/17,743.50 = 4,812.83/x
  3. Step 3: Cross multiply
    11,829x = 17,743.50 × 4,812.83
  4. Step 4: Simplify right side
    11,829x = 85,396,360.39
  5. Step 5: Solve for x
    x = 85,396,360.39/11,829
  6. Step 6: Final answer
    x = 7,219.24

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Why These Related Problems?

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