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Finding the Fourth Proportional to 7,520.40, 11,282.42 and 2,255.40

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Solution

The fourth proportional to 7,520.40, 11,282.42 and 2,255.40 is: 3,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.40 : 11,282.42 = 2,255.40 : x
  2. Step 2: Convert to fraction form
    7,520.40/11,282.42 = 2,255.40/x
  3. Step 3: Cross multiply
    7,520.40x = 11,282.42 × 2,255.40
  4. Step 4: Simplify right side
    7,520.40x = 25,446,375.71
  5. Step 5: Solve for x
    x = 25,446,375.71/7,520.40
  6. Step 6: Final answer
    x = 3,383.65

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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.