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Finding the Fourth Proportional to 2,858.85, 3,946.20 and 2,194.86

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Solution

The fourth proportional to 2,858.85, 3,946.20 and 2,194.86 is: 3,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.85 : 3,946.20 = 2,194.86 : x
  2. Step 2: Convert to fraction form
    2,858.85/3,946.20 = 2,194.86/x
  3. Step 3: Cross multiply
    2,858.85x = 3,946.20 × 2,194.86
  4. Step 4: Simplify right side
    2,858.85x = 8,661,356.53
  5. Step 5: Solve for x
    x = 8,661,356.53/2,858.85
  6. Step 6: Final answer
    x = 3,029.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.