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Finding the Fourth Proportional to 7,986, 11,020.53 and 4,449.15

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Solution

The fourth proportional to 7,986, 11,020.53 and 4,449.15 is: 6,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 11,020.53 = 4,449.15 : x
  2. Step 2: Convert to fraction form
    7,986/11,020.53 = 4,449.15/x
  3. Step 3: Cross multiply
    7,986x = 11,020.53 × 4,449.15
  4. Step 4: Simplify right side
    7,986x = 49,031,991.05
  5. Step 5: Solve for x
    x = 49,031,991.05/7,986
  6. Step 6: Final answer
    x = 6,139.74

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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.