Home / 2,281.62-3,422.30-964.82

Finding the Fourth Proportional to 2,281.62, 3,422.30 and 964.82

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Solution

The fourth proportional to 2,281.62, 3,422.30 and 964.82 is: 1,447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.62 : 3,422.30 = 964.82 : x
  2. Step 2: Convert to fraction form
    2,281.62/3,422.30 = 964.82/x
  3. Step 3: Cross multiply
    2,281.62x = 3,422.30 × 964.82
  4. Step 4: Simplify right side
    2,281.62x = 3,301,903.49
  5. Step 5: Solve for x
    x = 3,301,903.49/2,281.62
  6. Step 6: Final answer
    x = 1,447.18

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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.