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Finding the Fourth Proportional to 3,969.64, 5,478.60 and 2,608.08

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Solution

The fourth proportional to 3,969.64, 5,478.60 and 2,608.08 is: 3,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.64 : 5,478.60 = 2,608.08 : x
  2. Step 2: Convert to fraction form
    3,969.64/5,478.60 = 2,608.08/x
  3. Step 3: Cross multiply
    3,969.64x = 5,478.60 × 2,608.08
  4. Step 4: Simplify right side
    3,969.64x = 14,288,647.14
  5. Step 5: Solve for x
    x = 14,288,647.14/3,969.64
  6. Step 6: Final answer
    x = 3,599.48

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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.