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Finding the Fourth Proportional to 11,912.30, 17,862.69 and 6,983.54

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Solution

The fourth proportional to 11,912.30, 17,862.69 and 6,983.54 is: 10,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.30 : 17,862.69 = 6,983.54 : x
  2. Step 2: Convert to fraction form
    11,912.30/17,862.69 = 6,983.54/x
  3. Step 3: Cross multiply
    11,912.30x = 17,862.69 × 6,983.54
  4. Step 4: Simplify right side
    11,912.30x = 124,744,810.12
  5. Step 5: Solve for x
    x = 124,744,810.12/11,912.30
  6. Step 6: Final answer
    x = 10,471.93

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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.