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Finding the Fourth Proportional to 2,902.70, 4,006.22 and 1,723.83

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Solution

The fourth proportional to 2,902.70, 4,006.22 and 1,723.83 is: 2,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.70 : 4,006.22 = 1,723.83 : x
  2. Step 2: Convert to fraction form
    2,902.70/4,006.22 = 1,723.83/x
  3. Step 3: Cross multiply
    2,902.70x = 4,006.22 × 1,723.83
  4. Step 4: Simplify right side
    2,902.70x = 6,906,033.60
  5. Step 5: Solve for x
    x = 6,906,033.60/2,902.70
  6. Step 6: Final answer
    x = 2,379.18

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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.