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Finding the Fourth Proportional to 3,405.62, 5,108.72 and 940.44

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Solution

The fourth proportional to 3,405.62, 5,108.72 and 940.44 is: 1,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.62 : 5,108.72 = 940.44 : x
  2. Step 2: Convert to fraction form
    3,405.62/5,108.72 = 940.44/x
  3. Step 3: Cross multiply
    3,405.62x = 5,108.72 × 940.44
  4. Step 4: Simplify right side
    3,405.62x = 4,804,439.93
  5. Step 5: Solve for x
    x = 4,804,439.93/3,405.62
  6. Step 6: Final answer
    x = 1,410.74

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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.