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Finding the Fourth Proportional to 6,709.38, 9,258.51 and 3,725.22

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Solution

The fourth proportional to 6,709.38, 9,258.51 and 3,725.22 is: 5,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.38 : 9,258.51 = 3,725.22 : x
  2. Step 2: Convert to fraction form
    6,709.38/9,258.51 = 3,725.22/x
  3. Step 3: Cross multiply
    6,709.38x = 9,258.51 × 3,725.22
  4. Step 4: Simplify right side
    6,709.38x = 34,489,986.62
  5. Step 5: Solve for x
    x = 34,489,986.62/6,709.38
  6. Step 6: Final answer
    x = 5,140.56

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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.