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Finding the Fourth Proportional to 3,390.92, 4,679.91 and 1,974.63

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Solution

The fourth proportional to 3,390.92, 4,679.91 and 1,974.63 is: 2,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.92 : 4,679.91 = 1,974.63 : x
  2. Step 2: Convert to fraction form
    3,390.92/4,679.91 = 1,974.63/x
  3. Step 3: Cross multiply
    3,390.92x = 4,679.91 × 1,974.63
  4. Step 4: Simplify right side
    3,390.92x = 9,241,057.41
  5. Step 5: Solve for x
    x = 9,241,057.41/3,390.92
  6. Step 6: Final answer
    x = 2,725.24

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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.