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Finding the Fourth Proportional to 6,806.80, 9,393.92 and 3,823.30

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Solution

The fourth proportional to 6,806.80, 9,393.92 and 3,823.30 is: 5,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.80 : 9,393.92 = 3,823.30 : x
  2. Step 2: Convert to fraction form
    6,806.80/9,393.92 = 3,823.30/x
  3. Step 3: Cross multiply
    6,806.80x = 9,393.92 × 3,823.30
  4. Step 4: Simplify right side
    6,806.80x = 35,915,774.34
  5. Step 5: Solve for x
    x = 35,915,774.34/6,806.80
  6. Step 6: Final answer
    x = 5,276.46

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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.