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Finding the Fourth Proportional to 6,806.43, 9,393.90 and 4,155.38

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Solution

The fourth proportional to 6,806.43, 9,393.90 and 4,155.38 is: 5,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.43 : 9,393.90 = 4,155.38 : x
  2. Step 2: Convert to fraction form
    6,806.43/9,393.90 = 4,155.38/x
  3. Step 3: Cross multiply
    6,806.43x = 9,393.90 × 4,155.38
  4. Step 4: Simplify right side
    6,806.43x = 39,035,177.21
  5. Step 5: Solve for x
    x = 39,035,177.21/6,806.43
  6. Step 6: Final answer
    x = 5,735.04

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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.