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Finding the Fourth Proportional to 3,409.85, 5,114.71 and 911.27

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Solution

The fourth proportional to 3,409.85, 5,114.71 and 911.27 is: 1,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.85 : 5,114.71 = 911.27 : x
  2. Step 2: Convert to fraction form
    3,409.85/5,114.71 = 911.27/x
  3. Step 3: Cross multiply
    3,409.85x = 5,114.71 × 911.27
  4. Step 4: Simplify right side
    3,409.85x = 4,660,881.78
  5. Step 5: Solve for x
    x = 4,660,881.78/3,409.85
  6. Step 6: Final answer
    x = 1,366.89

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1.5x scale

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.