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Finding the Fourth Proportional to 3,873.96, 5,814.79 and 1,684.19

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Solution

The fourth proportional to 3,873.96, 5,814.79 and 1,684.19 is: 2,527.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.96 : 5,814.79 = 1,684.19 : x
  2. Step 2: Convert to fraction form
    3,873.96/5,814.79 = 1,684.19/x
  3. Step 3: Cross multiply
    3,873.96x = 5,814.79 × 1,684.19
  4. Step 4: Simplify right side
    3,873.96x = 9,793,221.50
  5. Step 5: Solve for x
    x = 9,793,221.50/3,873.96
  6. Step 6: Final answer
    x = 2,527.96

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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.