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Finding the Fourth Proportional to 3,857.55, 5,781.68 and 1,774.68

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Solution

The fourth proportional to 3,857.55, 5,781.68 and 1,774.68 is: 2,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.55 : 5,781.68 = 1,774.68 : x
  2. Step 2: Convert to fraction form
    3,857.55/5,781.68 = 1,774.68/x
  3. Step 3: Cross multiply
    3,857.55x = 5,781.68 × 1,774.68
  4. Step 4: Simplify right side
    3,857.55x = 10,260,622.99
  5. Step 5: Solve for x
    x = 10,260,622.99/3,857.55
  6. Step 6: Final answer
    x = 2,659.88

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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.