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Finding the Fourth Proportional to 3,111.57, 4,668.26 and 920.35

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Solution

The fourth proportional to 3,111.57, 4,668.26 and 920.35 is: 1,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.57 : 4,668.26 = 920.35 : x
  2. Step 2: Convert to fraction form
    3,111.57/4,668.26 = 920.35/x
  3. Step 3: Cross multiply
    3,111.57x = 4,668.26 × 920.35
  4. Step 4: Simplify right side
    3,111.57x = 4,296,430.79
  5. Step 5: Solve for x
    x = 4,296,430.79/3,111.57
  6. Step 6: Final answer
    x = 1,380.79

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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.