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Finding the Fourth Proportional to 2,789.91, 4,185.14 and 941.60

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Solution

The fourth proportional to 2,789.91, 4,185.14 and 941.60 is: 1,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.91 : 4,185.14 = 941.60 : x
  2. Step 2: Convert to fraction form
    2,789.91/4,185.14 = 941.60/x
  3. Step 3: Cross multiply
    2,789.91x = 4,185.14 × 941.60
  4. Step 4: Simplify right side
    2,789.91x = 3,940,702.19
  5. Step 5: Solve for x
    x = 3,940,702.19/2,789.91
  6. Step 6: Final answer
    x = 1,412.48

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1.5x scale

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.