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Finding the Fourth Proportional to 2,157.99, 3,237.67 and 771.64

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Solution

The fourth proportional to 2,157.99, 3,237.67 and 771.64 is: 1,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.99 : 3,237.67 = 771.64 : x
  2. Step 2: Convert to fraction form
    2,157.99/3,237.67 = 771.64/x
  3. Step 3: Cross multiply
    2,157.99x = 3,237.67 × 771.64
  4. Step 4: Simplify right side
    2,157.99x = 2,498,313.10
  5. Step 5: Solve for x
    x = 2,498,313.10/2,157.99
  6. Step 6: Final answer
    x = 1,157.70

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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.