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Finding the Fourth Proportional to 6,986.73, 9,641.49 and 3,842.92

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Solution

The fourth proportional to 6,986.73, 9,641.49 and 3,842.92 is: 5,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.73 : 9,641.49 = 3,842.92 : x
  2. Step 2: Convert to fraction form
    6,986.73/9,641.49 = 3,842.92/x
  3. Step 3: Cross multiply
    6,986.73x = 9,641.49 × 3,842.92
  4. Step 4: Simplify right side
    6,986.73x = 37,051,450.65
  5. Step 5: Solve for x
    x = 37,051,450.65/6,986.73
  6. Step 6: Final answer
    x = 5,303.12

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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.