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Finding the Fourth Proportional to 2,907.89, 4,014.37 and 1,968.65

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Solution

The fourth proportional to 2,907.89, 4,014.37 and 1,968.65 is: 2,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.89 : 4,014.37 = 1,968.65 : x
  2. Step 2: Convert to fraction form
    2,907.89/4,014.37 = 1,968.65/x
  3. Step 3: Cross multiply
    2,907.89x = 4,014.37 × 1,968.65
  4. Step 4: Simplify right side
    2,907.89x = 7,902,869.43
  5. Step 5: Solve for x
    x = 7,902,869.43/2,907.89
  6. Step 6: Final answer
    x = 2,717.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.