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Finding the Fourth Proportional to 3,276.86, 4,918.80 and 1,817.24

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Solution

The fourth proportional to 3,276.86, 4,918.80 and 1,817.24 is: 2,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.86 : 4,918.80 = 1,817.24 : x
  2. Step 2: Convert to fraction form
    3,276.86/4,918.80 = 1,817.24/x
  3. Step 3: Cross multiply
    3,276.86x = 4,918.80 × 1,817.24
  4. Step 4: Simplify right side
    3,276.86x = 8,938,640.11
  5. Step 5: Solve for x
    x = 8,938,640.11/3,276.86
  6. Step 6: Final answer
    x = 2,727.81

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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.