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Finding the Fourth Proportional to 3,437.79, 4,744.02 and 1,945.41

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Solution

The fourth proportional to 3,437.79, 4,744.02 and 1,945.41 is: 2,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.79 : 4,744.02 = 1,945.41 : x
  2. Step 2: Convert to fraction form
    3,437.79/4,744.02 = 1,945.41/x
  3. Step 3: Cross multiply
    3,437.79x = 4,744.02 × 1,945.41
  4. Step 4: Simplify right side
    3,437.79x = 9,229,063.95
  5. Step 5: Solve for x
    x = 9,229,063.95/3,437.79
  6. Step 6: Final answer
    x = 2,684.59

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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.