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Finding the Fourth Proportional to 3,405.81, 5,108.71 and 941.34

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Solution

The fourth proportional to 3,405.81, 5,108.71 and 941.34 is: 1,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.81 : 5,108.71 = 941.34 : x
  2. Step 2: Convert to fraction form
    3,405.81/5,108.71 = 941.34/x
  3. Step 3: Cross multiply
    3,405.81x = 5,108.71 × 941.34
  4. Step 4: Simplify right side
    3,405.81x = 4,809,033.07
  5. Step 5: Solve for x
    x = 4,809,033.07/3,405.81
  6. Step 6: Final answer
    x = 1,412.01

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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.