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Finding the Fourth Proportional to 3,316.97, 4,975.07 and 851.81

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Solution

The fourth proportional to 3,316.97, 4,975.07 and 851.81 is: 1,277.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.97 : 4,975.07 = 851.81 : x
  2. Step 2: Convert to fraction form
    3,316.97/4,975.07 = 851.81/x
  3. Step 3: Cross multiply
    3,316.97x = 4,975.07 × 851.81
  4. Step 4: Simplify right side
    3,316.97x = 4,237,785.24
  5. Step 5: Solve for x
    x = 4,237,785.24/3,316.97
  6. Step 6: Final answer
    x = 1,277.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.