Home / 2,814.58-4,217.24-964.68

Finding the Fourth Proportional to 2,814.58, 4,217.24 and 964.68

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Solution

The fourth proportional to 2,814.58, 4,217.24 and 964.68 is: 1,445.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.58 : 4,217.24 = 964.68 : x
  2. Step 2: Convert to fraction form
    2,814.58/4,217.24 = 964.68/x
  3. Step 3: Cross multiply
    2,814.58x = 4,217.24 × 964.68
  4. Step 4: Simplify right side
    2,814.58x = 4,068,273.68
  5. Step 5: Solve for x
    x = 4,068,273.68/2,814.58
  6. Step 6: Final answer
    x = 1,445.43

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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.