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Finding the Fourth Proportional to 7,138.22, 9,850.53 and 3,951.65

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Solution

The fourth proportional to 7,138.22, 9,850.53 and 3,951.65 is: 5,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.22 : 9,850.53 = 3,951.65 : x
  2. Step 2: Convert to fraction form
    7,138.22/9,850.53 = 3,951.65/x
  3. Step 3: Cross multiply
    7,138.22x = 9,850.53 × 3,951.65
  4. Step 4: Simplify right side
    7,138.22x = 38,925,846.87
  5. Step 5: Solve for x
    x = 38,925,846.87/7,138.22
  6. Step 6: Final answer
    x = 5,453.16

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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.