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Finding the Fourth Proportional to 2,188.77, 3,283.87 and 1,571.96

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Solution

The fourth proportional to 2,188.77, 3,283.87 and 1,571.96 is: 2,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.77 : 3,283.87 = 1,571.96 : x
  2. Step 2: Convert to fraction form
    2,188.77/3,283.87 = 1,571.96/x
  3. Step 3: Cross multiply
    2,188.77x = 3,283.87 × 1,571.96
  4. Step 4: Simplify right side
    2,188.77x = 5,162,096.62
  5. Step 5: Solve for x
    x = 5,162,096.62/2,188.77
  6. Step 6: Final answer
    x = 2,358.44

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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.