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Finding the Fourth Proportional to 6,976.86, 9,628.67 and 3,833.65

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Solution

The fourth proportional to 6,976.86, 9,628.67 and 3,833.65 is: 5,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.86 : 9,628.67 = 3,833.65 : x
  2. Step 2: Convert to fraction form
    6,976.86/9,628.67 = 3,833.65/x
  3. Step 3: Cross multiply
    6,976.86x = 9,628.67 × 3,833.65
  4. Step 4: Simplify right side
    6,976.86x = 36,912,950.75
  5. Step 5: Solve for x
    x = 36,912,950.75/6,976.86
  6. Step 6: Final answer
    x = 5,290.77

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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.