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Finding the Fourth Proportional to 9,991.12, 13,772.64 and 8,219.62

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Solution

The fourth proportional to 9,991.12, 13,772.64 and 8,219.62 is: 11,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.12 : 13,772.64 = 8,219.62 : x
  2. Step 2: Convert to fraction form
    9,991.12/13,772.64 = 8,219.62/x
  3. Step 3: Cross multiply
    9,991.12x = 13,772.64 × 8,219.62
  4. Step 4: Simplify right side
    9,991.12x = 113,205,867.20
  5. Step 5: Solve for x
    x = 113,205,867.20/9,991.12
  6. Step 6: Final answer
    x = 11,330.65

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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.