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Finding the Fourth Proportional to 5,647.72, 7,794.30 and 3,289

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Solution

The fourth proportional to 5,647.72, 7,794.30 and 3,289 is: 4,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.72 : 7,794.30 = 3,289 : x
  2. Step 2: Convert to fraction form
    5,647.72/7,794.30 = 3,289/x
  3. Step 3: Cross multiply
    5,647.72x = 7,794.30 × 3,289
  4. Step 4: Simplify right side
    5,647.72x = 25,635,452.70
  5. Step 5: Solve for x
    x = 25,635,452.70/5,647.72
  6. Step 6: Final answer
    x = 4,539.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.