Home / 2,813.74-4,218.02-964.43

Finding the Fourth Proportional to 2,813.74, 4,218.02 and 964.43

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Solution

The fourth proportional to 2,813.74, 4,218.02 and 964.43 is: 1,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.74 : 4,218.02 = 964.43 : x
  2. Step 2: Convert to fraction form
    2,813.74/4,218.02 = 964.43/x
  3. Step 3: Cross multiply
    2,813.74x = 4,218.02 × 964.43
  4. Step 4: Simplify right side
    2,813.74x = 4,067,987.70
  5. Step 5: Solve for x
    x = 4,067,987.70/2,813.74
  6. Step 6: Final answer
    x = 1,445.76

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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.