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Finding the Fourth Proportional to 9,991.98, 13,790.82 and 6,216.84

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Solution

The fourth proportional to 9,991.98, 13,790.82 and 6,216.84 is: 8,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.98 : 13,790.82 = 6,216.84 : x
  2. Step 2: Convert to fraction form
    9,991.98/13,790.82 = 6,216.84/x
  3. Step 3: Cross multiply
    9,991.98x = 13,790.82 × 6,216.84
  4. Step 4: Simplify right side
    9,991.98x = 85,735,321.41
  5. Step 5: Solve for x
    x = 85,735,321.41/9,991.98
  6. Step 6: Final answer
    x = 8,580.41

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Similar ratio
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1.5x scale

Why These Related Problems?

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