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Finding the Fourth Proportional to 18,030, 27,049.32 and 5,718

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Solution

The fourth proportional to 18,030, 27,049.32 and 5,718 is: 8,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,030 : 27,049.32 = 5,718 : x
  2. Step 2: Convert to fraction form
    18,030/27,049.32 = 5,718/x
  3. Step 3: Cross multiply
    18,030x = 27,049.32 × 5,718
  4. Step 4: Simplify right side
    18,030x = 154,668,011.76
  5. Step 5: Solve for x
    x = 154,668,011.76/18,030
  6. Step 6: Final answer
    x = 8,578.37

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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.