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Finding the Fourth Proportional to 9,993.60, 13,797.81 and 6,642.90

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Solution

The fourth proportional to 9,993.60, 13,797.81 and 6,642.90 is: 9,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.60 : 13,797.81 = 6,642.90 : x
  2. Step 2: Convert to fraction form
    9,993.60/13,797.81 = 6,642.90/x
  3. Step 3: Cross multiply
    9,993.60x = 13,797.81 × 6,642.90
  4. Step 4: Simplify right side
    9,993.60x = 91,657,472.05
  5. Step 5: Solve for x
    x = 91,657,472.05/9,993.60
  6. Step 6: Final answer
    x = 9,171.62

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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.