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Finding the Fourth Proportional to 6,396.57, 9,596.16 and 2,698.80

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Solution

The fourth proportional to 6,396.57, 9,596.16 and 2,698.80 is: 4,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.57 : 9,596.16 = 2,698.80 : x
  2. Step 2: Convert to fraction form
    6,396.57/9,596.16 = 2,698.80/x
  3. Step 3: Cross multiply
    6,396.57x = 9,596.16 × 2,698.80
  4. Step 4: Simplify right side
    6,396.57x = 25,898,116.61
  5. Step 5: Solve for x
    x = 25,898,116.61/6,396.57
  6. Step 6: Final answer
    x = 4,048.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.