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Finding the Fourth Proportional to 6,349, 8,761.70 and 3,516.43

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Solution

The fourth proportional to 6,349, 8,761.70 and 3,516.43 is: 4,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349 : 8,761.70 = 3,516.43 : x
  2. Step 2: Convert to fraction form
    6,349/8,761.70 = 3,516.43/x
  3. Step 3: Cross multiply
    6,349x = 8,761.70 × 3,516.43
  4. Step 4: Simplify right side
    6,349x = 30,809,904.73
  5. Step 5: Solve for x
    x = 30,809,904.73/6,349
  6. Step 6: Final answer
    x = 4,852.72

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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.