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Finding the Fourth Proportional to 2,129.00, 2,940.84 and 1,637.73

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Solution

The fourth proportional to 2,129.00, 2,940.84 and 1,637.73 is: 2,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.00 : 2,940.84 = 1,637.73 : x
  2. Step 2: Convert to fraction form
    2,129.00/2,940.84 = 1,637.73/x
  3. Step 3: Cross multiply
    2,129.00x = 2,940.84 × 1,637.73
  4. Step 4: Simplify right side
    2,129.00x = 4,816,301.89
  5. Step 5: Solve for x
    x = 4,816,301.89/2,129.00
  6. Step 6: Final answer
    x = 2,262.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.