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Finding the Fourth Proportional to 3,838.85, 5,754.42 and 2,453.75

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Solution

The fourth proportional to 3,838.85, 5,754.42 and 2,453.75 is: 3,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.85 : 5,754.42 = 2,453.75 : x
  2. Step 2: Convert to fraction form
    3,838.85/5,754.42 = 2,453.75/x
  3. Step 3: Cross multiply
    3,838.85x = 5,754.42 × 2,453.75
  4. Step 4: Simplify right side
    3,838.85x = 14,119,879.30
  5. Step 5: Solve for x
    x = 14,119,879.30/3,838.85
  6. Step 6: Final answer
    x = 3,678.16

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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.