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Finding the Fourth Proportional to 3,164.94, 4,747.35 and 1,431.54

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Solution

The fourth proportional to 3,164.94, 4,747.35 and 1,431.54 is: 2,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.94 : 4,747.35 = 1,431.54 : x
  2. Step 2: Convert to fraction form
    3,164.94/4,747.35 = 1,431.54/x
  3. Step 3: Cross multiply
    3,164.94x = 4,747.35 × 1,431.54
  4. Step 4: Simplify right side
    3,164.94x = 6,796,021.42
  5. Step 5: Solve for x
    x = 6,796,021.42/3,164.94
  6. Step 6: Final answer
    x = 2,147.28

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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.