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Finding the Fourth Proportional to 3,406.70, 5,106.04 and 1,946.86

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Solution

The fourth proportional to 3,406.70, 5,106.04 and 1,946.86 is: 2,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.70 : 5,106.04 = 1,946.86 : x
  2. Step 2: Convert to fraction form
    3,406.70/5,106.04 = 1,946.86/x
  3. Step 3: Cross multiply
    3,406.70x = 5,106.04 × 1,946.86
  4. Step 4: Simplify right side
    3,406.70x = 9,940,745.03
  5. Step 5: Solve for x
    x = 9,940,745.03/3,406.70
  6. Step 6: Final answer
    x = 2,918.00

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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.