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Finding the Fourth Proportional to 7,729.80, 11,601.10 and 3,576.20

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Solution

The fourth proportional to 7,729.80, 11,601.10 and 3,576.20 is: 5,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 11,601.10 = 3,576.20 : x
  2. Step 2: Convert to fraction form
    7,729.80/11,601.10 = 3,576.20/x
  3. Step 3: Cross multiply
    7,729.80x = 11,601.10 × 3,576.20
  4. Step 4: Simplify right side
    7,729.80x = 41,487,853.82
  5. Step 5: Solve for x
    x = 41,487,853.82/7,729.80
  6. Step 6: Final answer
    x = 5,367.26

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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.