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Finding the Fourth Proportional to 5,321.70, 7,982.57 and 1,858.95

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Solution

The fourth proportional to 5,321.70, 7,982.57 and 1,858.95 is: 2,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.70 : 7,982.57 = 1,858.95 : x
  2. Step 2: Convert to fraction form
    5,321.70/7,982.57 = 1,858.95/x
  3. Step 3: Cross multiply
    5,321.70x = 7,982.57 × 1,858.95
  4. Step 4: Simplify right side
    5,321.70x = 14,839,198.50
  5. Step 5: Solve for x
    x = 14,839,198.50/5,321.70
  6. Step 6: Final answer
    x = 2,788.43

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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.