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Finding the Fourth Proportional to 3,754.85, 5,631.42 and 1,415.10

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Solution

The fourth proportional to 3,754.85, 5,631.42 and 1,415.10 is: 2,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.85 : 5,631.42 = 1,415.10 : x
  2. Step 2: Convert to fraction form
    3,754.85/5,631.42 = 1,415.10/x
  3. Step 3: Cross multiply
    3,754.85x = 5,631.42 × 1,415.10
  4. Step 4: Simplify right side
    3,754.85x = 7,969,022.44
  5. Step 5: Solve for x
    x = 7,969,022.44/3,754.85
  6. Step 6: Final answer
    x = 2,122.33

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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.