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Finding the Fourth Proportional to 3,131.98, 4,698.06 and 940.66

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Solution

The fourth proportional to 3,131.98, 4,698.06 and 940.66 is: 1,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.98 : 4,698.06 = 940.66 : x
  2. Step 2: Convert to fraction form
    3,131.98/4,698.06 = 940.66/x
  3. Step 3: Cross multiply
    3,131.98x = 4,698.06 × 940.66
  4. Step 4: Simplify right side
    3,131.98x = 4,419,277.12
  5. Step 5: Solve for x
    x = 4,419,277.12/3,131.98
  6. Step 6: Final answer
    x = 1,411.02

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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.