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Finding the Fourth Proportional to 3,405.80, 5,108.67 and 940.64

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Solution

The fourth proportional to 3,405.80, 5,108.67 and 940.64 is: 1,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.80 : 5,108.67 = 940.64 : x
  2. Step 2: Convert to fraction form
    3,405.80/5,108.67 = 940.64/x
  3. Step 3: Cross multiply
    3,405.80x = 5,108.67 × 940.64
  4. Step 4: Simplify right side
    3,405.80x = 4,805,393.81
  5. Step 5: Solve for x
    x = 4,805,393.81/3,405.80
  6. Step 6: Final answer
    x = 1,410.95

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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.