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Finding the Fourth Proportional to 6,992.64, 10,489.05 and 2,609.19

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Solution

The fourth proportional to 6,992.64, 10,489.05 and 2,609.19 is: 3,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.64 : 10,489.05 = 2,609.19 : x
  2. Step 2: Convert to fraction form
    6,992.64/10,489.05 = 2,609.19/x
  3. Step 3: Cross multiply
    6,992.64x = 10,489.05 × 2,609.19
  4. Step 4: Simplify right side
    6,992.64x = 27,367,924.37
  5. Step 5: Solve for x
    x = 27,367,924.37/6,992.64
  6. Step 6: Final answer
    x = 3,913.82

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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.