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Finding the Fourth Proportional to 4,630.78, 6,943.29 and 2,164.54

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Solution

The fourth proportional to 4,630.78, 6,943.29 and 2,164.54 is: 3,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.78 : 6,943.29 = 2,164.54 : x
  2. Step 2: Convert to fraction form
    4,630.78/6,943.29 = 2,164.54/x
  3. Step 3: Cross multiply
    4,630.78x = 6,943.29 × 2,164.54
  4. Step 4: Simplify right side
    4,630.78x = 15,029,028.94
  5. Step 5: Solve for x
    x = 15,029,028.94/4,630.78
  6. Step 6: Final answer
    x = 3,245.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.