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Finding the Fourth Proportional to 2,909.94, 4,014.43 and 1,940.02

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Solution

The fourth proportional to 2,909.94, 4,014.43 and 1,940.02 is: 2,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.94 : 4,014.43 = 1,940.02 : x
  2. Step 2: Convert to fraction form
    2,909.94/4,014.43 = 1,940.02/x
  3. Step 3: Cross multiply
    2,909.94x = 4,014.43 × 1,940.02
  4. Step 4: Simplify right side
    2,909.94x = 7,788,074.49
  5. Step 5: Solve for x
    x = 7,788,074.49/2,909.94
  6. Step 6: Final answer
    x = 2,676.37

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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.