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Finding the Fourth Proportional to 8,813.47, 13,194.23 and 7,719.97

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Solution

The fourth proportional to 8,813.47, 13,194.23 and 7,719.97 is: 11,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.47 : 13,194.23 = 7,719.97 : x
  2. Step 2: Convert to fraction form
    8,813.47/13,194.23 = 7,719.97/x
  3. Step 3: Cross multiply
    8,813.47x = 13,194.23 × 7,719.97
  4. Step 4: Simplify right side
    8,813.47x = 101,859,059.77
  5. Step 5: Solve for x
    x = 101,859,059.77/8,813.47
  6. Step 6: Final answer
    x = 11,557.20

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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.