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Finding the Fourth Proportional to 11,710.80, 17,557.92 and 5,863.20

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Solution

The fourth proportional to 11,710.80, 17,557.92 and 5,863.20 is: 8,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.80 : 17,557.92 = 5,863.20 : x
  2. Step 2: Convert to fraction form
    11,710.80/17,557.92 = 5,863.20/x
  3. Step 3: Cross multiply
    11,710.80x = 17,557.92 × 5,863.20
  4. Step 4: Simplify right side
    11,710.80x = 102,945,596.54
  5. Step 5: Solve for x
    x = 102,945,596.54/11,710.80
  6. Step 6: Final answer
    x = 8,790.65

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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.