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Finding the Fourth Proportional to 2,470.64, 3,706.16 and 827.20

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Solution

The fourth proportional to 2,470.64, 3,706.16 and 827.20 is: 1,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.64 : 3,706.16 = 827.20 : x
  2. Step 2: Convert to fraction form
    2,470.64/3,706.16 = 827.20/x
  3. Step 3: Cross multiply
    2,470.64x = 3,706.16 × 827.20
  4. Step 4: Simplify right side
    2,470.64x = 3,065,735.55
  5. Step 5: Solve for x
    x = 3,065,735.55/2,470.64
  6. Step 6: Final answer
    x = 1,240.87

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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.