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Finding the Fourth Proportional to 3,503.72, 5,251.26 and 1,942.40

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Solution

The fourth proportional to 3,503.72, 5,251.26 and 1,942.40 is: 2,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.72 : 5,251.26 = 1,942.40 : x
  2. Step 2: Convert to fraction form
    3,503.72/5,251.26 = 1,942.40/x
  3. Step 3: Cross multiply
    3,503.72x = 5,251.26 × 1,942.40
  4. Step 4: Simplify right side
    3,503.72x = 10,200,047.42
  5. Step 5: Solve for x
    x = 10,200,047.42/3,503.72
  6. Step 6: Final answer
    x = 2,911.21

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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.