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Finding the Fourth Proportional to 2,998.69, 4,138.50 and 1,804.07

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Solution

The fourth proportional to 2,998.69, 4,138.50 and 1,804.07 is: 2,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.69 : 4,138.50 = 1,804.07 : x
  2. Step 2: Convert to fraction form
    2,998.69/4,138.50 = 1,804.07/x
  3. Step 3: Cross multiply
    2,998.69x = 4,138.50 × 1,804.07
  4. Step 4: Simplify right side
    2,998.69x = 7,466,143.70
  5. Step 5: Solve for x
    x = 7,466,143.70/2,998.69
  6. Step 6: Final answer
    x = 2,489.80

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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.