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Finding the Fourth Proportional to 12,163.86, 16,786.71 and 7,128

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Solution

The fourth proportional to 12,163.86, 16,786.71 and 7,128 is: 9,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.86 : 16,786.71 = 7,128 : x
  2. Step 2: Convert to fraction form
    12,163.86/16,786.71 = 7,128/x
  3. Step 3: Cross multiply
    12,163.86x = 16,786.71 × 7,128
  4. Step 4: Simplify right side
    12,163.86x = 119,655,668.88
  5. Step 5: Solve for x
    x = 119,655,668.88/12,163.86
  6. Step 6: Final answer
    x = 9,836.98

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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.