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Finding the Fourth Proportional to 3,111.34, 4,668 and 920.08

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Solution

The fourth proportional to 3,111.34, 4,668 and 920.08 is: 1,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.34 : 4,668 = 920.08 : x
  2. Step 2: Convert to fraction form
    3,111.34/4,668 = 920.08/x
  3. Step 3: Cross multiply
    3,111.34x = 4,668 × 920.08
  4. Step 4: Simplify right side
    3,111.34x = 4,294,933.44
  5. Step 5: Solve for x
    x = 4,294,933.44/3,111.34
  6. Step 6: Final answer
    x = 1,380.41

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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.