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Finding the Fourth Proportional to 20,116, 30,178.32 and 7,804

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Solution

The fourth proportional to 20,116, 30,178.32 and 7,804 is: 11,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,116 : 30,178.32 = 7,804 : x
  2. Step 2: Convert to fraction form
    20,116/30,178.32 = 7,804/x
  3. Step 3: Cross multiply
    20,116x = 30,178.32 × 7,804
  4. Step 4: Simplify right side
    20,116x = 235,511,609.28
  5. Step 5: Solve for x
    x = 235,511,609.28/20,116
  6. Step 6: Final answer
    x = 11,707.68

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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.