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Finding the Fourth Proportional to 6,188, 8,539.46 and 3,355.42

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Solution

The fourth proportional to 6,188, 8,539.46 and 3,355.42 is: 4,630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188 : 8,539.46 = 3,355.42 : x
  2. Step 2: Convert to fraction form
    6,188/8,539.46 = 3,355.42/x
  3. Step 3: Cross multiply
    6,188x = 8,539.46 × 3,355.42
  4. Step 4: Simplify right side
    6,188x = 28,653,474.87
  5. Step 5: Solve for x
    x = 28,653,474.87/6,188
  6. Step 6: Final answer
    x = 4,630.49

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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.