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Finding the Fourth Proportional to 4,899.12, 6,766.41 and 3,228

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Solution

The fourth proportional to 4,899.12, 6,766.41 and 3,228 is: 4,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.12 : 6,766.41 = 3,228 : x
  2. Step 2: Convert to fraction form
    4,899.12/6,766.41 = 3,228/x
  3. Step 3: Cross multiply
    4,899.12x = 6,766.41 × 3,228
  4. Step 4: Simplify right side
    4,899.12x = 21,841,971.48
  5. Step 5: Solve for x
    x = 21,841,971.48/4,899.12
  6. Step 6: Final answer
    x = 4,458.35

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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.