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Finding the Fourth Proportional to 8,505.89, 11,738.93 and 5,149.54

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Solution

The fourth proportional to 8,505.89, 11,738.93 and 5,149.54 is: 7,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.89 : 11,738.93 = 5,149.54 : x
  2. Step 2: Convert to fraction form
    8,505.89/11,738.93 = 5,149.54/x
  3. Step 3: Cross multiply
    8,505.89x = 11,738.93 × 5,149.54
  4. Step 4: Simplify right side
    8,505.89x = 60,450,089.59
  5. Step 5: Solve for x
    x = 60,450,089.59/8,505.89
  6. Step 6: Final answer
    x = 7,106.85

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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.