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Finding the Fourth Proportional to 3,884.85, 5,326.10 and 3,814.90

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Solution

The fourth proportional to 3,884.85, 5,326.10 and 3,814.90 is: 5,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.85 : 5,326.10 = 3,814.90 : x
  2. Step 2: Convert to fraction form
    3,884.85/5,326.10 = 3,814.90/x
  3. Step 3: Cross multiply
    3,884.85x = 5,326.10 × 3,814.90
  4. Step 4: Simplify right side
    3,884.85x = 20,318,538.89
  5. Step 5: Solve for x
    x = 20,318,538.89/3,884.85
  6. Step 6: Final answer
    x = 5,230.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.