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Finding the Fourth Proportional to 3,861.99, 5,794.44 and 1,782.99

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Solution

The fourth proportional to 3,861.99, 5,794.44 and 1,782.99 is: 2,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.99 : 5,794.44 = 1,782.99 : x
  2. Step 2: Convert to fraction form
    3,861.99/5,794.44 = 1,782.99/x
  3. Step 3: Cross multiply
    3,861.99x = 5,794.44 × 1,782.99
  4. Step 4: Simplify right side
    3,861.99x = 10,331,419.66
  5. Step 5: Solve for x
    x = 10,331,419.66/3,861.99
  6. Step 6: Final answer
    x = 2,675.15

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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.