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Finding the Fourth Proportional to 3,857.49, 5,786.24 and 2,471.47

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Solution

The fourth proportional to 3,857.49, 5,786.24 and 2,471.47 is: 3,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.49 : 5,786.24 = 2,471.47 : x
  2. Step 2: Convert to fraction form
    3,857.49/5,786.24 = 2,471.47/x
  3. Step 3: Cross multiply
    3,857.49x = 5,786.24 × 2,471.47
  4. Step 4: Simplify right side
    3,857.49x = 14,300,491.75
  5. Step 5: Solve for x
    x = 14,300,491.75/3,857.49
  6. Step 6: Final answer
    x = 3,707.20

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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.