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Finding the Fourth Proportional to 8,107.49, 11,182.78 and 4,965.23

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Solution

The fourth proportional to 8,107.49, 11,182.78 and 4,965.23 is: 6,848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.49 : 11,182.78 = 4,965.23 : x
  2. Step 2: Convert to fraction form
    8,107.49/11,182.78 = 4,965.23/x
  3. Step 3: Cross multiply
    8,107.49x = 11,182.78 × 4,965.23
  4. Step 4: Simplify right side
    8,107.49x = 55,525,074.74
  5. Step 5: Solve for x
    x = 55,525,074.74/8,107.49
  6. Step 6: Final answer
    x = 6,848.61

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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.