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Finding the Fourth Proportional to 3,843.48, 5,765.12 and 1,069.86

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Solution

The fourth proportional to 3,843.48, 5,765.12 and 1,069.86 is: 1,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.48 : 5,765.12 = 1,069.86 : x
  2. Step 2: Convert to fraction form
    3,843.48/5,765.12 = 1,069.86/x
  3. Step 3: Cross multiply
    3,843.48x = 5,765.12 × 1,069.86
  4. Step 4: Simplify right side
    3,843.48x = 6,167,871.28
  5. Step 5: Solve for x
    x = 6,167,871.28/3,843.48
  6. Step 6: Final answer
    x = 1,604.76

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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.