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Finding the Fourth Proportional to 18,036, 27,030.24 and 7,634.88

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Solution

The fourth proportional to 18,036, 27,030.24 and 7,634.88 is: 11,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,036 : 27,030.24 = 7,634.88 : x
  2. Step 2: Convert to fraction form
    18,036/27,030.24 = 7,634.88/x
  3. Step 3: Cross multiply
    18,036x = 27,030.24 × 7,634.88
  4. Step 4: Simplify right side
    18,036x = 206,372,638.77
  5. Step 5: Solve for x
    x = 206,372,638.77/18,036
  6. Step 6: Final answer
    x = 11,442.26

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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.