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Finding the Fourth Proportional to 6,939.62, 10,410.99 and 2,009.64

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Solution

The fourth proportional to 6,939.62, 10,410.99 and 2,009.64 is: 3,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.62 : 10,410.99 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    6,939.62/10,410.99 = 2,009.64/x
  3. Step 3: Cross multiply
    6,939.62x = 10,410.99 × 2,009.64
  4. Step 4: Simplify right side
    6,939.62x = 20,922,341.94
  5. Step 5: Solve for x
    x = 20,922,341.94/6,939.62
  6. Step 6: Final answer
    x = 3,014.91

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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.