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Finding the Fourth Proportional to 5,321.80, 7,982.22 and 1,858.84

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Solution

The fourth proportional to 5,321.80, 7,982.22 and 1,858.84 is: 2,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.80 : 7,982.22 = 1,858.84 : x
  2. Step 2: Convert to fraction form
    5,321.80/7,982.22 = 1,858.84/x
  3. Step 3: Cross multiply
    5,321.80x = 7,982.22 × 1,858.84
  4. Step 4: Simplify right side
    5,321.80x = 14,837,669.82
  5. Step 5: Solve for x
    x = 14,837,669.82/5,321.80
  6. Step 6: Final answer
    x = 2,788.09

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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.