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Finding the Fourth Proportional to 2,668.34, 4,004.33 and 936.96

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Solution

The fourth proportional to 2,668.34, 4,004.33 and 936.96 is: 1,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.34 : 4,004.33 = 936.96 : x
  2. Step 2: Convert to fraction form
    2,668.34/4,004.33 = 936.96/x
  3. Step 3: Cross multiply
    2,668.34x = 4,004.33 × 936.96
  4. Step 4: Simplify right side
    2,668.34x = 3,751,892.35
  5. Step 5: Solve for x
    x = 3,751,892.35/2,668.34
  6. Step 6: Final answer
    x = 1,406.08

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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.