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Finding the Fourth Proportional to 20,469.32, 30,703.86 and 5,678.08

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Solution

The fourth proportional to 20,469.32, 30,703.86 and 5,678.08 is: 8,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.32 : 30,703.86 = 5,678.08 : x
  2. Step 2: Convert to fraction form
    20,469.32/30,703.86 = 5,678.08/x
  3. Step 3: Cross multiply
    20,469.32x = 30,703.86 × 5,678.08
  4. Step 4: Simplify right side
    20,469.32x = 174,338,973.39
  5. Step 5: Solve for x
    x = 174,338,973.39/20,469.32
  6. Step 6: Final answer
    x = 8,517.09

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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.