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Finding the Fourth Proportional to 11,698.99, 16,129.80 and 8,509.82

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Solution

The fourth proportional to 11,698.99, 16,129.80 and 8,509.82 is: 11,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.99 : 16,129.80 = 8,509.82 : x
  2. Step 2: Convert to fraction form
    11,698.99/16,129.80 = 8,509.82/x
  3. Step 3: Cross multiply
    11,698.99x = 16,129.80 × 8,509.82
  4. Step 4: Simplify right side
    11,698.99x = 137,261,613.99
  5. Step 5: Solve for x
    x = 137,261,613.99/11,698.99
  6. Step 6: Final answer
    x = 11,732.78

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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.