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Finding the Fourth Proportional to 2,804.86, 4,202.61 and 1,914.09

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Solution

The fourth proportional to 2,804.86, 4,202.61 and 1,914.09 is: 2,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.86 : 4,202.61 = 1,914.09 : x
  2. Step 2: Convert to fraction form
    2,804.86/4,202.61 = 1,914.09/x
  3. Step 3: Cross multiply
    2,804.86x = 4,202.61 × 1,914.09
  4. Step 4: Simplify right side
    2,804.86x = 8,044,173.77
  5. Step 5: Solve for x
    x = 8,044,173.77/2,804.86
  6. Step 6: Final answer
    x = 2,867.94

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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.