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Finding the Fourth Proportional to 3,406.22, 5,108.74 and 940.38

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Solution

The fourth proportional to 3,406.22, 5,108.74 and 940.38 is: 1,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.22 : 5,108.74 = 940.38 : x
  2. Step 2: Convert to fraction form
    3,406.22/5,108.74 = 940.38/x
  3. Step 3: Cross multiply
    3,406.22x = 5,108.74 × 940.38
  4. Step 4: Simplify right side
    3,406.22x = 4,804,135.41
  5. Step 5: Solve for x
    x = 4,804,135.41/3,406.22
  6. Step 6: Final answer
    x = 1,410.40

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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.