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Finding the Fourth Proportional to 3,131.86, 4,698.19 and 940.81

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Solution

The fourth proportional to 3,131.86, 4,698.19 and 940.81 is: 1,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.86 : 4,698.19 = 940.81 : x
  2. Step 2: Convert to fraction form
    3,131.86/4,698.19 = 940.81/x
  3. Step 3: Cross multiply
    3,131.86x = 4,698.19 × 940.81
  4. Step 4: Simplify right side
    3,131.86x = 4,420,078.29
  5. Step 5: Solve for x
    x = 4,420,078.29/3,131.86
  6. Step 6: Final answer
    x = 1,411.33

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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.