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Finding the Fourth Proportional to 2,609.56, 3,914.34 and 661.92

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Solution

The fourth proportional to 2,609.56, 3,914.34 and 661.92 is: 992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.56 : 3,914.34 = 661.92 : x
  2. Step 2: Convert to fraction form
    2,609.56/3,914.34 = 661.92/x
  3. Step 3: Cross multiply
    2,609.56x = 3,914.34 × 661.92
  4. Step 4: Simplify right side
    2,609.56x = 2,590,979.93
  5. Step 5: Solve for x
    x = 2,590,979.93/2,609.56
  6. Step 6: Final answer
    x = 992.88

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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.