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Finding the Fourth Proportional to 11,912.52, 17,844.95 and 7,166.06

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Solution

The fourth proportional to 11,912.52, 17,844.95 and 7,166.06 is: 10,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.52 : 17,844.95 = 7,166.06 : x
  2. Step 2: Convert to fraction form
    11,912.52/17,844.95 = 7,166.06/x
  3. Step 3: Cross multiply
    11,912.52x = 17,844.95 × 7,166.06
  4. Step 4: Simplify right side
    11,912.52x = 127,877,982.40
  5. Step 5: Solve for x
    x = 127,877,982.40/11,912.52
  6. Step 6: Final answer
    x = 10,734.75

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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.