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Finding the Fourth Proportional to 2,464.21, 3,696.38 and 820.70

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Solution

The fourth proportional to 2,464.21, 3,696.38 and 820.70 is: 1,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.21 : 3,696.38 = 820.70 : x
  2. Step 2: Convert to fraction form
    2,464.21/3,696.38 = 820.70/x
  3. Step 3: Cross multiply
    2,464.21x = 3,696.38 × 820.70
  4. Step 4: Simplify right side
    2,464.21x = 3,033,596.48
  5. Step 5: Solve for x
    x = 3,033,596.48/2,464.21
  6. Step 6: Final answer
    x = 1,231.06

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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.