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Finding the Fourth Proportional to 6,137.07, 8,470.07 and 3,618.38

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Solution

The fourth proportional to 6,137.07, 8,470.07 and 3,618.38 is: 4,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.07 : 8,470.07 = 3,618.38 : x
  2. Step 2: Convert to fraction form
    6,137.07/8,470.07 = 3,618.38/x
  3. Step 3: Cross multiply
    6,137.07x = 8,470.07 × 3,618.38
  4. Step 4: Simplify right side
    6,137.07x = 30,647,871.44
  5. Step 5: Solve for x
    x = 30,647,871.44/6,137.07
  6. Step 6: Final answer
    x = 4,993.89

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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.