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Finding the Fourth Proportional to 5,643.53, 7,786.96 and 3,546.44

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Solution

The fourth proportional to 5,643.53, 7,786.96 and 3,546.44 is: 4,893.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.53 : 7,786.96 = 3,546.44 : x
  2. Step 2: Convert to fraction form
    5,643.53/7,786.96 = 3,546.44/x
  3. Step 3: Cross multiply
    5,643.53x = 7,786.96 × 3,546.44
  4. Step 4: Simplify right side
    5,643.53x = 27,615,986.42
  5. Step 5: Solve for x
    x = 27,615,986.42/5,643.53
  6. Step 6: Final answer
    x = 4,893.39

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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.