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Finding the Fourth Proportional to 12,186.69, 16,826.45 and 8,007.09

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Solution

The fourth proportional to 12,186.69, 16,826.45 and 8,007.09 is: 11,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.69 : 16,826.45 = 8,007.09 : x
  2. Step 2: Convert to fraction form
    12,186.69/16,826.45 = 8,007.09/x
  3. Step 3: Cross multiply
    12,186.69x = 16,826.45 × 8,007.09
  4. Step 4: Simplify right side
    12,186.69x = 134,730,859.50
  5. Step 5: Solve for x
    x = 134,730,859.50/12,186.69
  6. Step 6: Final answer
    x = 11,055.57

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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.