Home / 2,074.20-3,112.07-964.16

Finding the Fourth Proportional to 2,074.20, 3,112.07 and 964.16

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Solution

The fourth proportional to 2,074.20, 3,112.07 and 964.16 is: 1,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.20 : 3,112.07 = 964.16 : x
  2. Step 2: Convert to fraction form
    2,074.20/3,112.07 = 964.16/x
  3. Step 3: Cross multiply
    2,074.20x = 3,112.07 × 964.16
  4. Step 4: Simplify right side
    2,074.20x = 3,000,513.03
  5. Step 5: Solve for x
    x = 3,000,513.03/2,074.20
  6. Step 6: Final answer
    x = 1,446.59

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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.