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Finding the Fourth Proportional to 11,806, 17,712.04 and 4,410.51

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Solution

The fourth proportional to 11,806, 17,712.04 and 4,410.51 is: 6,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806 : 17,712.04 = 4,410.51 : x
  2. Step 2: Convert to fraction form
    11,806/17,712.04 = 4,410.51/x
  3. Step 3: Cross multiply
    11,806x = 17,712.04 × 4,410.51
  4. Step 4: Simplify right side
    11,806x = 78,119,129.54
  5. Step 5: Solve for x
    x = 78,119,129.54/11,806
  6. Step 6: Final answer
    x = 6,616.90

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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.