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Finding the Fourth Proportional to 8,566.80, 11,805.84 and 5,909.36

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Solution

The fourth proportional to 8,566.80, 11,805.84 and 5,909.36 is: 8,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.80 : 11,805.84 = 5,909.36 : x
  2. Step 2: Convert to fraction form
    8,566.80/11,805.84 = 5,909.36/x
  3. Step 3: Cross multiply
    8,566.80x = 11,805.84 × 5,909.36
  4. Step 4: Simplify right side
    8,566.80x = 69,764,958.66
  5. Step 5: Solve for x
    x = 69,764,958.66/8,566.80
  6. Step 6: Final answer
    x = 8,143.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.