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Finding the Fourth Proportional to 3,907.60, 5,396.64 and 3,168.88

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Solution

The fourth proportional to 3,907.60, 5,396.64 and 3,168.88 is: 4,376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.60 : 5,396.64 = 3,168.88 : x
  2. Step 2: Convert to fraction form
    3,907.60/5,396.64 = 3,168.88/x
  3. Step 3: Cross multiply
    3,907.60x = 5,396.64 × 3,168.88
  4. Step 4: Simplify right side
    3,907.60x = 17,101,304.56
  5. Step 5: Solve for x
    x = 17,101,304.56/3,907.60
  6. Step 6: Final answer
    x = 4,376.42

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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.