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Finding the Fourth Proportional to 20,178, 30,262.32 and 7,693.56

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Solution

The fourth proportional to 20,178, 30,262.32 and 7,693.56 is: 11,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178 : 30,262.32 = 7,693.56 : x
  2. Step 2: Convert to fraction form
    20,178/30,262.32 = 7,693.56/x
  3. Step 3: Cross multiply
    20,178x = 30,262.32 × 7,693.56
  4. Step 4: Simplify right side
    20,178x = 232,824,974.66
  5. Step 5: Solve for x
    x = 232,824,974.66/20,178
  6. Step 6: Final answer
    x = 11,538.56

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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.