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Finding the Fourth Proportional to 2,576.97, 3,864.24 and 1,189.89

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Solution

The fourth proportional to 2,576.97, 3,864.24 and 1,189.89 is: 1,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.97 : 3,864.24 = 1,189.89 : x
  2. Step 2: Convert to fraction form
    2,576.97/3,864.24 = 1,189.89/x
  3. Step 3: Cross multiply
    2,576.97x = 3,864.24 × 1,189.89
  4. Step 4: Simplify right side
    2,576.97x = 4,598,020.53
  5. Step 5: Solve for x
    x = 4,598,020.53/2,576.97
  6. Step 6: Final answer
    x = 1,784.27

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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.