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Finding the Fourth Proportional to 3,807.64, 5,717.94 and 2,986.84

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Solution

The fourth proportional to 3,807.64, 5,717.94 and 2,986.84 is: 4,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.64 : 5,717.94 = 2,986.84 : x
  2. Step 2: Convert to fraction form
    3,807.64/5,717.94 = 2,986.84/x
  3. Step 3: Cross multiply
    3,807.64x = 5,717.94 × 2,986.84
  4. Step 4: Simplify right side
    3,807.64x = 17,078,571.91
  5. Step 5: Solve for x
    x = 17,078,571.91/3,807.64
  6. Step 6: Final answer
    x = 4,485.34

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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.