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Finding the Fourth Proportional to 3,857.56, 5,783.10 and 1,550.68

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Solution

The fourth proportional to 3,857.56, 5,783.10 and 1,550.68 is: 2,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.56 : 5,783.10 = 1,550.68 : x
  2. Step 2: Convert to fraction form
    3,857.56/5,783.10 = 1,550.68/x
  3. Step 3: Cross multiply
    3,857.56x = 5,783.10 × 1,550.68
  4. Step 4: Simplify right side
    3,857.56x = 8,967,717.24
  5. Step 5: Solve for x
    x = 8,967,717.24/3,857.56
  6. Step 6: Final answer
    x = 2,324.71

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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.