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Finding the Fourth Proportional to 2,470.85, 3,706.34 and 827.09

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Solution

The fourth proportional to 2,470.85, 3,706.34 and 827.09 is: 1,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.85 : 3,706.34 = 827.09 : x
  2. Step 2: Convert to fraction form
    2,470.85/3,706.34 = 827.09/x
  3. Step 3: Cross multiply
    2,470.85x = 3,706.34 × 827.09
  4. Step 4: Simplify right side
    2,470.85x = 3,065,454.08
  5. Step 5: Solve for x
    x = 3,065,454.08/2,470.85
  6. Step 6: Final answer
    x = 1,240.65

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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.