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Finding the Fourth Proportional to 20,458.74, 30,675 and 9,780.69

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Solution

The fourth proportional to 20,458.74, 30,675 and 9,780.69 is: 14,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.74 : 30,675 = 9,780.69 : x
  2. Step 2: Convert to fraction form
    20,458.74/30,675 = 9,780.69/x
  3. Step 3: Cross multiply
    20,458.74x = 30,675 × 9,780.69
  4. Step 4: Simplify right side
    20,458.74x = 300,022,665.75
  5. Step 5: Solve for x
    x = 300,022,665.75/20,458.74
  6. Step 6: Final answer
    x = 14,664.77

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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.