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Finding the Fourth Proportional to 6,596.92, 9,102.81 and 3,764.80

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Solution

The fourth proportional to 6,596.92, 9,102.81 and 3,764.80 is: 5,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.92 : 9,102.81 = 3,764.80 : x
  2. Step 2: Convert to fraction form
    6,596.92/9,102.81 = 3,764.80/x
  3. Step 3: Cross multiply
    6,596.92x = 9,102.81 × 3,764.80
  4. Step 4: Simplify right side
    6,596.92x = 34,270,259.09
  5. Step 5: Solve for x
    x = 34,270,259.09/6,596.92
  6. Step 6: Final answer
    x = 5,194.89

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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.