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Finding the Fourth Proportional to 3,254.70, 4,879.17 and 1,305.57

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Solution

The fourth proportional to 3,254.70, 4,879.17 and 1,305.57 is: 1,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.70 : 4,879.17 = 1,305.57 : x
  2. Step 2: Convert to fraction form
    3,254.70/4,879.17 = 1,305.57/x
  3. Step 3: Cross multiply
    3,254.70x = 4,879.17 × 1,305.57
  4. Step 4: Simplify right side
    3,254.70x = 6,370,097.98
  5. Step 5: Solve for x
    x = 6,370,097.98/3,254.70
  6. Step 6: Final answer
    x = 1,957.20

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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.