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Finding the Fourth Proportional to 4,806.56, 7,209.84 and 2,211.68

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Solution

The fourth proportional to 4,806.56, 7,209.84 and 2,211.68 is: 3,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.56 : 7,209.84 = 2,211.68 : x
  2. Step 2: Convert to fraction form
    4,806.56/7,209.84 = 2,211.68/x
  3. Step 3: Cross multiply
    4,806.56x = 7,209.84 × 2,211.68
  4. Step 4: Simplify right side
    4,806.56x = 15,945,858.93
  5. Step 5: Solve for x
    x = 15,945,858.93/4,806.56
  6. Step 6: Final answer
    x = 3,317.52

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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.