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Finding the Fourth Proportional to 3,861.71, 5,790.37 and 1,228.71

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Solution

The fourth proportional to 3,861.71, 5,790.37 and 1,228.71 is: 1,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.71 : 5,790.37 = 1,228.71 : x
  2. Step 2: Convert to fraction form
    3,861.71/5,790.37 = 1,228.71/x
  3. Step 3: Cross multiply
    3,861.71x = 5,790.37 × 1,228.71
  4. Step 4: Simplify right side
    3,861.71x = 7,114,673.90
  5. Step 5: Solve for x
    x = 7,114,673.90/3,861.71
  6. Step 6: Final answer
    x = 1,842.36

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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.