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Finding the Fourth Proportional to 2,467.78, 3,403.86 and 1,584.65

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Solution

The fourth proportional to 2,467.78, 3,403.86 and 1,584.65 is: 2,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.78 : 3,403.86 = 1,584.65 : x
  2. Step 2: Convert to fraction form
    2,467.78/3,403.86 = 1,584.65/x
  3. Step 3: Cross multiply
    2,467.78x = 3,403.86 × 1,584.65
  4. Step 4: Simplify right side
    2,467.78x = 5,393,926.75
  5. Step 5: Solve for x
    x = 5,393,926.75/2,467.78
  6. Step 6: Final answer
    x = 2,185.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.