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Finding the Fourth Proportional to 3,131.28, 4,696.98 and 940.02

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Solution

The fourth proportional to 3,131.28, 4,696.98 and 940.02 is: 1,410.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.28 : 4,696.98 = 940.02 : x
  2. Step 2: Convert to fraction form
    3,131.28/4,696.98 = 940.02/x
  3. Step 3: Cross multiply
    3,131.28x = 4,696.98 × 940.02
  4. Step 4: Simplify right side
    3,131.28x = 4,415,255.14
  5. Step 5: Solve for x
    x = 4,415,255.14/3,131.28
  6. Step 6: Final answer
    x = 1,410.05

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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.