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Finding the Fourth Proportional to 4,631, 6,390.80 and 2,975

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Solution

The fourth proportional to 4,631, 6,390.80 and 2,975 is: 4,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631 : 6,390.80 = 2,975 : x
  2. Step 2: Convert to fraction form
    4,631/6,390.80 = 2,975/x
  3. Step 3: Cross multiply
    4,631x = 6,390.80 × 2,975
  4. Step 4: Simplify right side
    4,631x = 19,012,630
  5. Step 5: Solve for x
    x = 19,012,630/4,631
  6. Step 6: Final answer
    x = 4,105.51

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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.