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Finding the Fourth Proportional to 3,111.99, 4,668 and 920.73

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Solution

The fourth proportional to 3,111.99, 4,668 and 920.73 is: 1,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.99 : 4,668 = 920.73 : x
  2. Step 2: Convert to fraction form
    3,111.99/4,668 = 920.73/x
  3. Step 3: Cross multiply
    3,111.99x = 4,668 × 920.73
  4. Step 4: Simplify right side
    3,111.99x = 4,297,967.64
  5. Step 5: Solve for x
    x = 4,297,967.64/3,111.99
  6. Step 6: Final answer
    x = 1,381.10

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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.