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Finding the Fourth Proportional to 2,609.09, 3,913.65 and 661.29

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Solution

The fourth proportional to 2,609.09, 3,913.65 and 661.29 is: 991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.09 : 3,913.65 = 661.29 : x
  2. Step 2: Convert to fraction form
    2,609.09/3,913.65 = 661.29/x
  3. Step 3: Cross multiply
    2,609.09x = 3,913.65 × 661.29
  4. Step 4: Simplify right side
    2,609.09x = 2,588,057.61
  5. Step 5: Solve for x
    x = 2,588,057.61/2,609.09
  6. Step 6: Final answer
    x = 991.94

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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.