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Finding the Fourth Proportional to 11,698.80, 16,126.12 and 8,709.88

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Solution

The fourth proportional to 11,698.80, 16,126.12 and 8,709.88 is: 12,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.80 : 16,126.12 = 8,709.88 : x
  2. Step 2: Convert to fraction form
    11,698.80/16,126.12 = 8,709.88/x
  3. Step 3: Cross multiply
    11,698.80x = 16,126.12 × 8,709.88
  4. Step 4: Simplify right side
    11,698.80x = 140,456,570.07
  5. Step 5: Solve for x
    x = 140,456,570.07/11,698.80
  6. Step 6: Final answer
    x = 12,006.07

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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.