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Finding the Fourth Proportional to 15,198.76, 20,979.30 and 8,911

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Solution

The fourth proportional to 15,198.76, 20,979.30 and 8,911 is: 12,300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.76 : 20,979.30 = 8,911 : x
  2. Step 2: Convert to fraction form
    15,198.76/20,979.30 = 8,911/x
  3. Step 3: Cross multiply
    15,198.76x = 20,979.30 × 8,911
  4. Step 4: Simplify right side
    15,198.76x = 186,946,542.30
  5. Step 5: Solve for x
    x = 186,946,542.30/15,198.76
  6. Step 6: Final answer
    x = 12,300.12

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