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Finding the Fourth Proportional to 6,895.05, 9,516.86 and 3,912.63

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Solution

The fourth proportional to 6,895.05, 9,516.86 and 3,912.63 is: 5,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.05 : 9,516.86 = 3,912.63 : x
  2. Step 2: Convert to fraction form
    6,895.05/9,516.86 = 3,912.63/x
  3. Step 3: Cross multiply
    6,895.05x = 9,516.86 × 3,912.63
  4. Step 4: Simplify right side
    6,895.05x = 37,235,951.94
  5. Step 5: Solve for x
    x = 37,235,951.94/6,895.05
  6. Step 6: Final answer
    x = 5,400.39

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1.5x scale

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.