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Finding the Fourth Proportional to 7,772.58, 11,659.05 and 2,226.42

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Solution

The fourth proportional to 7,772.58, 11,659.05 and 2,226.42 is: 3,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.58 : 11,659.05 = 2,226.42 : x
  2. Step 2: Convert to fraction form
    7,772.58/11,659.05 = 2,226.42/x
  3. Step 3: Cross multiply
    7,772.58x = 11,659.05 × 2,226.42
  4. Step 4: Simplify right side
    7,772.58x = 25,957,942.10
  5. Step 5: Solve for x
    x = 25,957,942.10/7,772.58
  6. Step 6: Final answer
    x = 3,339.68

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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.