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Finding the Fourth Proportional to 2,158.37, 3,238.24 and 771.68

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Solution

The fourth proportional to 2,158.37, 3,238.24 and 771.68 is: 1,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.37 : 3,238.24 = 771.68 : x
  2. Step 2: Convert to fraction form
    2,158.37/3,238.24 = 771.68/x
  3. Step 3: Cross multiply
    2,158.37x = 3,238.24 × 771.68
  4. Step 4: Simplify right side
    2,158.37x = 2,498,866.92
  5. Step 5: Solve for x
    x = 2,498,866.92/2,158.37
  6. Step 6: Final answer
    x = 1,157.76

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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.