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Finding the Fourth Proportional to 2,158.34, 3,237.41 and 771.77

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Solution

The fourth proportional to 2,158.34, 3,237.41 and 771.77 is: 1,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.34 : 3,237.41 = 771.77 : x
  2. Step 2: Convert to fraction form
    2,158.34/3,237.41 = 771.77/x
  3. Step 3: Cross multiply
    2,158.34x = 3,237.41 × 771.77
  4. Step 4: Simplify right side
    2,158.34x = 2,498,535.92
  5. Step 5: Solve for x
    x = 2,498,535.92/2,158.34
  6. Step 6: Final answer
    x = 1,157.62

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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.