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Finding the Fourth Proportional to 6,990.74, 9,647 and 3,846.92

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Solution

The fourth proportional to 6,990.74, 9,647 and 3,846.92 is: 5,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.74 : 9,647 = 3,846.92 : x
  2. Step 2: Convert to fraction form
    6,990.74/9,647 = 3,846.92/x
  3. Step 3: Cross multiply
    6,990.74x = 9,647 × 3,846.92
  4. Step 4: Simplify right side
    6,990.74x = 37,111,237.24
  5. Step 5: Solve for x
    x = 37,111,237.24/6,990.74
  6. Step 6: Final answer
    x = 5,308.63

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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.