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Finding the Fourth Proportional to 3,874.60, 5,814.60 and 1,684.90

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Solution

The fourth proportional to 3,874.60, 5,814.60 and 1,684.90 is: 2,528.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.60 : 5,814.60 = 1,684.90 : x
  2. Step 2: Convert to fraction form
    3,874.60/5,814.60 = 1,684.90/x
  3. Step 3: Cross multiply
    3,874.60x = 5,814.60 × 1,684.90
  4. Step 4: Simplify right side
    3,874.60x = 9,797,019.54
  5. Step 5: Solve for x
    x = 9,797,019.54/3,874.60
  6. Step 6: Final answer
    x = 2,528.52

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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.