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Finding the Fourth Proportional to 2,576.70, 3,864.93 and 845.34

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Solution

The fourth proportional to 2,576.70, 3,864.93 and 845.34 is: 1,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.70 : 3,864.93 = 845.34 : x
  2. Step 2: Convert to fraction form
    2,576.70/3,864.93 = 845.34/x
  3. Step 3: Cross multiply
    2,576.70x = 3,864.93 × 845.34
  4. Step 4: Simplify right side
    2,576.70x = 3,267,179.93
  5. Step 5: Solve for x
    x = 3,267,179.93/2,576.70
  6. Step 6: Final answer
    x = 1,267.97

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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.