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Finding the Fourth Proportional to 11,922.29, 17,871.13 and 7,770.41

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Solution

The fourth proportional to 11,922.29, 17,871.13 and 7,770.41 is: 11,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.29 : 17,871.13 = 7,770.41 : x
  2. Step 2: Convert to fraction form
    11,922.29/17,871.13 = 7,770.41/x
  3. Step 3: Cross multiply
    11,922.29x = 17,871.13 × 7,770.41
  4. Step 4: Simplify right side
    11,922.29x = 138,866,007.26
  5. Step 5: Solve for x
    x = 138,866,007.26/11,922.29
  6. Step 6: Final answer
    x = 11,647.60

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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.