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Finding the Fourth Proportional to 2,609.79, 3,604.96 and 1,945.49

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Solution

The fourth proportional to 2,609.79, 3,604.96 and 1,945.49 is: 2,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.79 : 3,604.96 = 1,945.49 : x
  2. Step 2: Convert to fraction form
    2,609.79/3,604.96 = 1,945.49/x
  3. Step 3: Cross multiply
    2,609.79x = 3,604.96 × 1,945.49
  4. Step 4: Simplify right side
    2,609.79x = 7,013,387.09
  5. Step 5: Solve for x
    x = 7,013,387.09/2,609.79
  6. Step 6: Final answer
    x = 2,687.34

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1.5x scale

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.