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Finding the Fourth Proportional to 2,142.81, 2,956.84 and 1,198.65

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Solution

The fourth proportional to 2,142.81, 2,956.84 and 1,198.65 is: 1,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.81 : 2,956.84 = 1,198.65 : x
  2. Step 2: Convert to fraction form
    2,142.81/2,956.84 = 1,198.65/x
  3. Step 3: Cross multiply
    2,142.81x = 2,956.84 × 1,198.65
  4. Step 4: Simplify right side
    2,142.81x = 3,544,216.27
  5. Step 5: Solve for x
    x = 3,544,216.27/2,142.81
  6. Step 6: Final answer
    x = 1,654.00

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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.