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Finding the Fourth Proportional to 6,912.45, 9,540.06 and 5,149.08

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Solution

The fourth proportional to 6,912.45, 9,540.06 and 5,149.08 is: 7,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.45 : 9,540.06 = 5,149.08 : x
  2. Step 2: Convert to fraction form
    6,912.45/9,540.06 = 5,149.08/x
  3. Step 3: Cross multiply
    6,912.45x = 9,540.06 × 5,149.08
  4. Step 4: Simplify right side
    6,912.45x = 49,122,532.14
  5. Step 5: Solve for x
    x = 49,122,532.14/6,912.45
  6. Step 6: Final answer
    x = 7,106.39

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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.