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Finding the Fourth Proportional to 6,942.86, 9,578.42 and 4,285.66

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Solution

The fourth proportional to 6,942.86, 9,578.42 and 4,285.66 is: 5,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.86 : 9,578.42 = 4,285.66 : x
  2. Step 2: Convert to fraction form
    6,942.86/9,578.42 = 4,285.66/x
  3. Step 3: Cross multiply
    6,942.86x = 9,578.42 × 4,285.66
  4. Step 4: Simplify right side
    6,942.86x = 41,049,851.46
  5. Step 5: Solve for x
    x = 41,049,851.46/6,942.86
  6. Step 6: Final answer
    x = 5,912.53

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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.