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Finding the Fourth Proportional to 3,855.68, 5,321.52 and 2,284.64

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Solution

The fourth proportional to 3,855.68, 5,321.52 and 2,284.64 is: 3,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.68 : 5,321.52 = 2,284.64 : x
  2. Step 2: Convert to fraction form
    3,855.68/5,321.52 = 2,284.64/x
  3. Step 3: Cross multiply
    3,855.68x = 5,321.52 × 2,284.64
  4. Step 4: Simplify right side
    3,855.68x = 12,157,757.45
  5. Step 5: Solve for x
    x = 12,157,757.45/3,855.68
  6. Step 6: Final answer
    x = 3,153.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.