Home / 2,164.20-3,230.58-2,004

Finding the Fourth Proportional to 2,164.20, 3,230.58 and 2,004

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Solution

The fourth proportional to 2,164.20, 3,230.58 and 2,004 is: 2,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.20 : 3,230.58 = 2,004 : x
  2. Step 2: Convert to fraction form
    2,164.20/3,230.58 = 2,004/x
  3. Step 3: Cross multiply
    2,164.20x = 3,230.58 × 2,004
  4. Step 4: Simplify right side
    2,164.20x = 6,474,082.32
  5. Step 5: Solve for x
    x = 6,474,082.32/2,164.20
  6. Step 6: Final answer
    x = 2,991.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.