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Finding the Fourth Proportional to 6,805.40, 9,391.70 and 3,974.58

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Solution

The fourth proportional to 6,805.40, 9,391.70 and 3,974.58 is: 5,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.40 : 9,391.70 = 3,974.58 : x
  2. Step 2: Convert to fraction form
    6,805.40/9,391.70 = 3,974.58/x
  3. Step 3: Cross multiply
    6,805.40x = 9,391.70 × 3,974.58
  4. Step 4: Simplify right side
    6,805.40x = 37,328,043.11
  5. Step 5: Solve for x
    x = 37,328,043.11/6,805.40
  6. Step 6: Final answer
    x = 5,485.07

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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.