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Finding the Fourth Proportional to 11,991.30, 17,972.02 and 7,610.01

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Solution

The fourth proportional to 11,991.30, 17,972.02 and 7,610.01 is: 11,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.30 : 17,972.02 = 7,610.01 : x
  2. Step 2: Convert to fraction form
    11,991.30/17,972.02 = 7,610.01/x
  3. Step 3: Cross multiply
    11,991.30x = 17,972.02 × 7,610.01
  4. Step 4: Simplify right side
    11,991.30x = 136,767,251.92
  5. Step 5: Solve for x
    x = 136,767,251.92/11,991.30
  6. Step 6: Final answer
    x = 11,405.54

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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.