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Finding the Fourth Proportional to 2,914, 4,370.56 and 965.96

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Solution

The fourth proportional to 2,914, 4,370.56 and 965.96 is: 1,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914 : 4,370.56 = 965.96 : x
  2. Step 2: Convert to fraction form
    2,914/4,370.56 = 965.96/x
  3. Step 3: Cross multiply
    2,914x = 4,370.56 × 965.96
  4. Step 4: Simplify right side
    2,914x = 4,221,786.14
  5. Step 5: Solve for x
    x = 4,221,786.14/2,914
  6. Step 6: Final answer
    x = 1,448.79

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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.