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Finding the Fourth Proportional to 5,205.44, 7,811.24 and 1,920.82

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Solution

The fourth proportional to 5,205.44, 7,811.24 and 1,920.82 is: 2,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.44 : 7,811.24 = 1,920.82 : x
  2. Step 2: Convert to fraction form
    5,205.44/7,811.24 = 1,920.82/x
  3. Step 3: Cross multiply
    5,205.44x = 7,811.24 × 1,920.82
  4. Step 4: Simplify right side
    5,205.44x = 15,003,986.02
  5. Step 5: Solve for x
    x = 15,003,986.02/5,205.44
  6. Step 6: Final answer
    x = 2,882.37

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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.