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Finding the Fourth Proportional to 20,005.08, 30,009.08 and 6,857.34

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Solution

The fourth proportional to 20,005.08, 30,009.08 and 6,857.34 is: 10,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.08 : 30,009.08 = 6,857.34 : x
  2. Step 2: Convert to fraction form
    20,005.08/30,009.08 = 6,857.34/x
  3. Step 3: Cross multiply
    20,005.08x = 30,009.08 × 6,857.34
  4. Step 4: Simplify right side
    20,005.08x = 205,782,464.65
  5. Step 5: Solve for x
    x = 205,782,464.65/20,005.08
  6. Step 6: Final answer
    x = 10,286.51

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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.