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Finding the Fourth Proportional to 11,992.10, 17,955.87 and 7,821.77

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Solution

The fourth proportional to 11,992.10, 17,955.87 and 7,821.77 is: 11,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.10 : 17,955.87 = 7,821.77 : x
  2. Step 2: Convert to fraction form
    11,992.10/17,955.87 = 7,821.77/x
  3. Step 3: Cross multiply
    11,992.10x = 17,955.87 × 7,821.77
  4. Step 4: Simplify right side
    11,992.10x = 140,446,685.29
  5. Step 5: Solve for x
    x = 140,446,685.29/11,992.10
  6. Step 6: Final answer
    x = 11,711.60

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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.