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Finding the Fourth Proportional to 3,456.84, 5,185.25 and 859.78

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Solution

The fourth proportional to 3,456.84, 5,185.25 and 859.78 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.84 : 5,185.25 = 859.78 : x
  2. Step 2: Convert to fraction form
    3,456.84/5,185.25 = 859.78/x
  3. Step 3: Cross multiply
    3,456.84x = 5,185.25 × 859.78
  4. Step 4: Simplify right side
    3,456.84x = 4,458,148.32
  5. Step 5: Solve for x
    x = 4,458,148.32/3,456.84
  6. Step 6: Final answer
    x = 1,289.66

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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.