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Finding the Fourth Proportional to 5,319.78, 7,978.30 and 2,200.67

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Solution

The fourth proportional to 5,319.78, 7,978.30 and 2,200.67 is: 3,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.78 : 7,978.30 = 2,200.67 : x
  2. Step 2: Convert to fraction form
    5,319.78/7,978.30 = 2,200.67/x
  3. Step 3: Cross multiply
    5,319.78x = 7,978.30 × 2,200.67
  4. Step 4: Simplify right side
    5,319.78x = 17,557,589.99
  5. Step 5: Solve for x
    x = 17,557,589.99/5,319.78
  6. Step 6: Final answer
    x = 3,300.44

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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.