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Finding the Fourth Proportional to 6,991.66, 10,489.32 and 2,609.16

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Solution

The fourth proportional to 6,991.66, 10,489.32 and 2,609.16 is: 3,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.66 : 10,489.32 = 2,609.16 : x
  2. Step 2: Convert to fraction form
    6,991.66/10,489.32 = 2,609.16/x
  3. Step 3: Cross multiply
    6,991.66x = 10,489.32 × 2,609.16
  4. Step 4: Simplify right side
    6,991.66x = 27,368,274.84
  5. Step 5: Solve for x
    x = 27,368,274.84/6,991.66
  6. Step 6: Final answer
    x = 3,914.42

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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.