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Finding the Fourth Proportional to 6,724.78, 9,288 and 4,483

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Solution

The fourth proportional to 6,724.78, 9,288 and 4,483 is: 6,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.78 : 9,288 = 4,483 : x
  2. Step 2: Convert to fraction form
    6,724.78/9,288 = 4,483/x
  3. Step 3: Cross multiply
    6,724.78x = 9,288 × 4,483
  4. Step 4: Simplify right side
    6,724.78x = 41,638,104
  5. Step 5: Solve for x
    x = 41,638,104/6,724.78
  6. Step 6: Final answer
    x = 6,191.74

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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.