Home / 2,813.24-4,219.92-964.34

Finding the Fourth Proportional to 2,813.24, 4,219.92 and 964.34

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Solution

The fourth proportional to 2,813.24, 4,219.92 and 964.34 is: 1,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.24 : 4,219.92 = 964.34 : x
  2. Step 2: Convert to fraction form
    2,813.24/4,219.92 = 964.34/x
  3. Step 3: Cross multiply
    2,813.24x = 4,219.92 × 964.34
  4. Step 4: Simplify right side
    2,813.24x = 4,069,429.51
  5. Step 5: Solve for x
    x = 4,069,429.51/2,813.24
  6. Step 6: Final answer
    x = 1,446.53

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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.