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Finding the Fourth Proportional to 3,164.78, 4,742.13 and 2,120.94

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Solution

The fourth proportional to 3,164.78, 4,742.13 and 2,120.94 is: 3,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.78 : 4,742.13 = 2,120.94 : x
  2. Step 2: Convert to fraction form
    3,164.78/4,742.13 = 2,120.94/x
  3. Step 3: Cross multiply
    3,164.78x = 4,742.13 × 2,120.94
  4. Step 4: Simplify right side
    3,164.78x = 10,057,773.20
  5. Step 5: Solve for x
    x = 10,057,773.20/3,164.78
  6. Step 6: Final answer
    x = 3,178.03

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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.