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Finding the Fourth Proportional to 2,609.63, 3,914.39 and 661.78

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Solution

The fourth proportional to 2,609.63, 3,914.39 and 661.78 is: 992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.63 : 3,914.39 = 661.78 : x
  2. Step 2: Convert to fraction form
    2,609.63/3,914.39 = 661.78/x
  3. Step 3: Cross multiply
    2,609.63x = 3,914.39 × 661.78
  4. Step 4: Simplify right side
    2,609.63x = 2,590,471.56
  5. Step 5: Solve for x
    x = 2,590,471.56/2,609.63
  6. Step 6: Final answer
    x = 992.66

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1.5x scale

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.