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Finding the Fourth Proportional to 3,409.42, 4,703.86 and 2,778.86

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Solution

The fourth proportional to 3,409.42, 4,703.86 and 2,778.86 is: 3,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.42 : 4,703.86 = 2,778.86 : x
  2. Step 2: Convert to fraction form
    3,409.42/4,703.86 = 2,778.86/x
  3. Step 3: Cross multiply
    3,409.42x = 4,703.86 × 2,778.86
  4. Step 4: Simplify right side
    3,409.42x = 13,071,375.35
  5. Step 5: Solve for x
    x = 13,071,375.35/3,409.42
  6. Step 6: Final answer
    x = 3,833.90

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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.