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Finding the Fourth Proportional to 7,986.22, 11,019.99 and 4,449.22

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Solution

The fourth proportional to 7,986.22, 11,019.99 and 4,449.22 is: 6,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.22 : 11,019.99 = 4,449.22 : x
  2. Step 2: Convert to fraction form
    7,986.22/11,019.99 = 4,449.22/x
  3. Step 3: Cross multiply
    7,986.22x = 11,019.99 × 4,449.22
  4. Step 4: Simplify right side
    7,986.22x = 49,030,359.91
  5. Step 5: Solve for x
    x = 49,030,359.91/7,986.22
  6. Step 6: Final answer
    x = 6,139.37

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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.