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Finding the Fourth Proportional to 5,647.77, 7,794.23 and 3,289.77

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Solution

The fourth proportional to 5,647.77, 7,794.23 and 3,289.77 is: 4,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.77 : 7,794.23 = 3,289.77 : x
  2. Step 2: Convert to fraction form
    5,647.77/7,794.23 = 3,289.77/x
  3. Step 3: Cross multiply
    5,647.77x = 7,794.23 × 3,289.77
  4. Step 4: Simplify right side
    5,647.77x = 25,641,207.58
  5. Step 5: Solve for x
    x = 25,641,207.58/5,647.77
  6. Step 6: Final answer
    x = 4,540.06

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1.5x scale

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.