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Finding the Fourth Proportional to 3,251, 4,879.74 and 1,712

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Solution

The fourth proportional to 3,251, 4,879.74 and 1,712 is: 2,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 4,879.74 = 1,712 : x
  2. Step 2: Convert to fraction form
    3,251/4,879.74 = 1,712/x
  3. Step 3: Cross multiply
    3,251x = 4,879.74 × 1,712
  4. Step 4: Simplify right side
    3,251x = 8,354,114.88
  5. Step 5: Solve for x
    x = 8,354,114.88/3,251
  6. Step 6: Final answer
    x = 2,569.71

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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.