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Finding the Fourth Proportional to 3,131.56, 4,697.88 and 940.08

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Solution

The fourth proportional to 3,131.56, 4,697.88 and 940.08 is: 1,410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.56 : 4,697.88 = 940.08 : x
  2. Step 2: Convert to fraction form
    3,131.56/4,697.88 = 940.08/x
  3. Step 3: Cross multiply
    3,131.56x = 4,697.88 × 940.08
  4. Step 4: Simplify right side
    3,131.56x = 4,416,383.03
  5. Step 5: Solve for x
    x = 4,416,383.03/3,131.56
  6. Step 6: Final answer
    x = 1,410.28

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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.