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Finding the Fourth Proportional to 3,975.15, 5,964.75 and 1,636.95

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Solution

The fourth proportional to 3,975.15, 5,964.75 and 1,636.95 is: 2,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.15 : 5,964.75 = 1,636.95 : x
  2. Step 2: Convert to fraction form
    3,975.15/5,964.75 = 1,636.95/x
  3. Step 3: Cross multiply
    3,975.15x = 5,964.75 × 1,636.95
  4. Step 4: Simplify right side
    3,975.15x = 9,763,997.51
  5. Step 5: Solve for x
    x = 9,763,997.51/3,975.15
  6. Step 6: Final answer
    x = 2,456.26

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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.