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Finding the Fourth Proportional to 6,945.65, 9,589.47 and 6,198.33

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Solution

The fourth proportional to 6,945.65, 9,589.47 and 6,198.33 is: 8,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.65 : 9,589.47 = 6,198.33 : x
  2. Step 2: Convert to fraction form
    6,945.65/9,589.47 = 6,198.33/x
  3. Step 3: Cross multiply
    6,945.65x = 9,589.47 × 6,198.33
  4. Step 4: Simplify right side
    6,945.65x = 59,438,699.59
  5. Step 5: Solve for x
    x = 59,438,699.59/6,945.65
  6. Step 6: Final answer
    x = 8,557.69

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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.