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Finding the Fourth Proportional to 9,991.12, 14,993.36 and 4,147.72

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Solution

The fourth proportional to 9,991.12, 14,993.36 and 4,147.72 is: 6,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.12 : 14,993.36 = 4,147.72 : x
  2. Step 2: Convert to fraction form
    9,991.12/14,993.36 = 4,147.72/x
  3. Step 3: Cross multiply
    9,991.12x = 14,993.36 × 4,147.72
  4. Step 4: Simplify right side
    9,991.12x = 62,188,163.43
  5. Step 5: Solve for x
    x = 62,188,163.43/9,991.12
  6. Step 6: Final answer
    x = 6,224.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.