Home / 2,814.82-4,217.60-964.92

Finding the Fourth Proportional to 2,814.82, 4,217.60 and 964.92

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Solution

The fourth proportional to 2,814.82, 4,217.60 and 964.92 is: 1,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.82 : 4,217.60 = 964.92 : x
  2. Step 2: Convert to fraction form
    2,814.82/4,217.60 = 964.92/x
  3. Step 3: Cross multiply
    2,814.82x = 4,217.60 × 964.92
  4. Step 4: Simplify right side
    2,814.82x = 4,069,646.59
  5. Step 5: Solve for x
    x = 4,069,646.59/2,814.82
  6. Step 6: Final answer
    x = 1,445.79

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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.