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Finding the Fourth Proportional to 3,857.76, 5,796.15 and 2,471.70

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Solution

The fourth proportional to 3,857.76, 5,796.15 and 2,471.70 is: 3,713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.76 : 5,796.15 = 2,471.70 : x
  2. Step 2: Convert to fraction form
    3,857.76/5,796.15 = 2,471.70/x
  3. Step 3: Cross multiply
    3,857.76x = 5,796.15 × 2,471.70
  4. Step 4: Simplify right side
    3,857.76x = 14,326,343.96
  5. Step 5: Solve for x
    x = 14,326,343.96/3,857.76
  6. Step 6: Final answer
    x = 3,713.64

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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.