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Finding the Fourth Proportional to 12,198.72, 16,835.48 and 8,798.54

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Solution

The fourth proportional to 12,198.72, 16,835.48 and 8,798.54 is: 12,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.72 : 16,835.48 = 8,798.54 : x
  2. Step 2: Convert to fraction form
    12,198.72/16,835.48 = 8,798.54/x
  3. Step 3: Cross multiply
    12,198.72x = 16,835.48 × 8,798.54
  4. Step 4: Simplify right side
    12,198.72x = 148,127,644.20
  5. Step 5: Solve for x
    x = 148,127,644.20/12,198.72
  6. Step 6: Final answer
    x = 12,142.88

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1.5x scale

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.