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Finding the Fourth Proportional to 7,207.70, 9,940.86 and 4,969.06

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Solution

The fourth proportional to 7,207.70, 9,940.86 and 4,969.06 is: 6,853.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.70 : 9,940.86 = 4,969.06 : x
  2. Step 2: Convert to fraction form
    7,207.70/9,940.86 = 4,969.06/x
  3. Step 3: Cross multiply
    7,207.70x = 9,940.86 × 4,969.06
  4. Step 4: Simplify right side
    7,207.70x = 49,396,704.94
  5. Step 5: Solve for x
    x = 49,396,704.94/7,207.70
  6. Step 6: Final answer
    x = 6,853.33

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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.