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Finding the Fourth Proportional to 7,986.27, 11,031.81 and 7,241.07

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Solution

The fourth proportional to 7,986.27, 11,031.81 and 7,241.07 is: 10,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.27 : 11,031.81 = 7,241.07 : x
  2. Step 2: Convert to fraction form
    7,986.27/11,031.81 = 7,241.07/x
  3. Step 3: Cross multiply
    7,986.27x = 11,031.81 × 7,241.07
  4. Step 4: Simplify right side
    7,986.27x = 79,882,108.44
  5. Step 5: Solve for x
    x = 79,882,108.44/7,986.27
  6. Step 6: Final answer
    x = 10,002.43

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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.