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Finding the Fourth Proportional to 11,967.80, 17,940.11 and 6,705.36

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Solution

The fourth proportional to 11,967.80, 17,940.11 and 6,705.36 is: 10,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.80 : 17,940.11 = 6,705.36 : x
  2. Step 2: Convert to fraction form
    11,967.80/17,940.11 = 6,705.36/x
  3. Step 3: Cross multiply
    11,967.80x = 17,940.11 × 6,705.36
  4. Step 4: Simplify right side
    11,967.80x = 120,294,862.46
  5. Step 5: Solve for x
    x = 120,294,862.46/11,967.80
  6. Step 6: Final answer
    x = 10,051.55

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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.