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Finding the Fourth Proportional to 7,735.70, 11,609.69 and 2,806.74

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Solution

The fourth proportional to 7,735.70, 11,609.69 and 2,806.74 is: 4,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.70 : 11,609.69 = 2,806.74 : x
  2. Step 2: Convert to fraction form
    7,735.70/11,609.69 = 2,806.74/x
  3. Step 3: Cross multiply
    7,735.70x = 11,609.69 × 2,806.74
  4. Step 4: Simplify right side
    7,735.70x = 32,585,367.28
  5. Step 5: Solve for x
    x = 32,585,367.28/7,735.70
  6. Step 6: Final answer
    x = 4,212.34

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1.5x scale

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.