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Finding the Fourth Proportional to 8,505.90, 11,738.94 and 5,149.53

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Solution

The fourth proportional to 8,505.90, 11,738.94 and 5,149.53 is: 7,106.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.90 : 11,738.94 = 5,149.53 : x
  2. Step 2: Convert to fraction form
    8,505.90/11,738.94 = 5,149.53/x
  3. Step 3: Cross multiply
    8,505.90x = 11,738.94 × 5,149.53
  4. Step 4: Simplify right side
    8,505.90x = 60,450,023.70
  5. Step 5: Solve for x
    x = 60,450,023.70/8,505.90
  6. Step 6: Final answer
    x = 7,106.83

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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.