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Finding the Fourth Proportional to 5,647, 7,791.04 and 3,409.60

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Solution

The fourth proportional to 5,647, 7,791.04 and 3,409.60 is: 4,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647 : 7,791.04 = 3,409.60 : x
  2. Step 2: Convert to fraction form
    5,647/7,791.04 = 3,409.60/x
  3. Step 3: Cross multiply
    5,647x = 7,791.04 × 3,409.60
  4. Step 4: Simplify right side
    5,647x = 26,564,329.98
  5. Step 5: Solve for x
    x = 26,564,329.98/5,647
  6. Step 6: Final answer
    x = 4,704.15

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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.