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Finding the Fourth Proportional to 3,970.75, 5,958.29 and 1,918.75

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Solution

The fourth proportional to 3,970.75, 5,958.29 and 1,918.75 is: 2,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.75 : 5,958.29 = 1,918.75 : x
  2. Step 2: Convert to fraction form
    3,970.75/5,958.29 = 1,918.75/x
  3. Step 3: Cross multiply
    3,970.75x = 5,958.29 × 1,918.75
  4. Step 4: Simplify right side
    3,970.75x = 11,432,468.94
  5. Step 5: Solve for x
    x = 11,432,468.94/3,970.75
  6. Step 6: Final answer
    x = 2,879.17

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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.