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Finding the Fourth Proportional to 3,456.78, 5,185.15 and 859.72

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Solution

The fourth proportional to 3,456.78, 5,185.15 and 859.72 is: 1,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.78 : 5,185.15 = 859.72 : x
  2. Step 2: Convert to fraction form
    3,456.78/5,185.15 = 859.72/x
  3. Step 3: Cross multiply
    3,456.78x = 5,185.15 × 859.72
  4. Step 4: Simplify right side
    3,456.78x = 4,457,771.77
  5. Step 5: Solve for x
    x = 4,457,771.77/3,456.78
  6. Step 6: Final answer
    x = 1,289.57

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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.