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Finding the Fourth Proportional to 11,822.65, 17,722.01 and 7,665.29

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Solution

The fourth proportional to 11,822.65, 17,722.01 and 7,665.29 is: 11,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.65 : 17,722.01 = 7,665.29 : x
  2. Step 2: Convert to fraction form
    11,822.65/17,722.01 = 7,665.29/x
  3. Step 3: Cross multiply
    11,822.65x = 17,722.01 × 7,665.29
  4. Step 4: Simplify right side
    11,822.65x = 135,844,352.01
  5. Step 5: Solve for x
    x = 135,844,352.01/11,822.65
  6. Step 6: Final answer
    x = 11,490.18

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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.