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Finding the Fourth Proportional to 3,409.86, 4,702.53 and 2,228.88

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Solution

The fourth proportional to 3,409.86, 4,702.53 and 2,228.88 is: 3,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.86 : 4,702.53 = 2,228.88 : x
  2. Step 2: Convert to fraction form
    3,409.86/4,702.53 = 2,228.88/x
  3. Step 3: Cross multiply
    3,409.86x = 4,702.53 × 2,228.88
  4. Step 4: Simplify right side
    3,409.86x = 10,481,375.07
  5. Step 5: Solve for x
    x = 10,481,375.07/3,409.86
  6. Step 6: Final answer
    x = 3,073.84

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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.