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Finding the Fourth Proportional to 2,763.71, 3,812.63 and 1,644.02

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Solution

The fourth proportional to 2,763.71, 3,812.63 and 1,644.02 is: 2,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.71 : 3,812.63 = 1,644.02 : x
  2. Step 2: Convert to fraction form
    2,763.71/3,812.63 = 1,644.02/x
  3. Step 3: Cross multiply
    2,763.71x = 3,812.63 × 1,644.02
  4. Step 4: Simplify right side
    2,763.71x = 6,268,039.97
  5. Step 5: Solve for x
    x = 6,268,039.97/2,763.71
  6. Step 6: Final answer
    x = 2,267.98

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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.