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Finding the Fourth Proportional to 19,774, 27,287.32 and 11,820.62

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Solution

The fourth proportional to 19,774, 27,287.32 and 11,820.62 is: 16,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774 : 27,287.32 = 11,820.62 : x
  2. Step 2: Convert to fraction form
    19,774/27,287.32 = 11,820.62/x
  3. Step 3: Cross multiply
    19,774x = 27,287.32 × 11,820.62
  4. Step 4: Simplify right side
    19,774x = 322,553,040.54
  5. Step 5: Solve for x
    x = 322,553,040.54/19,774
  6. Step 6: Final answer
    x = 16,311.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.