Home / 2,133.52-3,200.16-1,311.92

Finding the Fourth Proportional to 2,133.52, 3,200.16 and 1,311.92

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Solution

The fourth proportional to 2,133.52, 3,200.16 and 1,311.92 is: 1,967.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.52 : 3,200.16 = 1,311.92 : x
  2. Step 2: Convert to fraction form
    2,133.52/3,200.16 = 1,311.92/x
  3. Step 3: Cross multiply
    2,133.52x = 3,200.16 × 1,311.92
  4. Step 4: Simplify right side
    2,133.52x = 4,198,353.91
  5. Step 5: Solve for x
    x = 4,198,353.91/2,133.52
  6. Step 6: Final answer
    x = 1,967.81

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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.