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Finding the Fourth Proportional to 7,205.63, 10,809.26 and 3,923.51

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Solution

The fourth proportional to 7,205.63, 10,809.26 and 3,923.51 is: 5,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.63 : 10,809.26 = 3,923.51 : x
  2. Step 2: Convert to fraction form
    7,205.63/10,809.26 = 3,923.51/x
  3. Step 3: Cross multiply
    7,205.63x = 10,809.26 × 3,923.51
  4. Step 4: Simplify right side
    7,205.63x = 42,410,239.70
  5. Step 5: Solve for x
    x = 42,410,239.70/7,205.63
  6. Step 6: Final answer
    x = 5,885.71

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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.