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Finding the Fourth Proportional to 2,467.42, 3,699.90 and 823.40

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Solution

The fourth proportional to 2,467.42, 3,699.90 and 823.40 is: 1,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.42 : 3,699.90 = 823.40 : x
  2. Step 2: Convert to fraction form
    2,467.42/3,699.90 = 823.40/x
  3. Step 3: Cross multiply
    2,467.42x = 3,699.90 × 823.40
  4. Step 4: Simplify right side
    2,467.42x = 3,046,497.66
  5. Step 5: Solve for x
    x = 3,046,497.66/2,467.42
  6. Step 6: Final answer
    x = 1,234.69

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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.