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Finding the Fourth Proportional to 3,131.65, 4,698.39 and 941.01

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Solution

The fourth proportional to 3,131.65, 4,698.39 and 941.01 is: 1,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.65 : 4,698.39 = 941.01 : x
  2. Step 2: Convert to fraction form
    3,131.65/4,698.39 = 941.01/x
  3. Step 3: Cross multiply
    3,131.65x = 4,698.39 × 941.01
  4. Step 4: Simplify right side
    3,131.65x = 4,421,231.97
  5. Step 5: Solve for x
    x = 4,421,231.97/3,131.65
  6. Step 6: Final answer
    x = 1,411.79

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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.