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Finding the Fourth Proportional to 12,163, 16,778.46 and 8,177.26

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Solution

The fourth proportional to 12,163, 16,778.46 and 8,177.26 is: 11,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163 : 16,778.46 = 8,177.26 : x
  2. Step 2: Convert to fraction form
    12,163/16,778.46 = 8,177.26/x
  3. Step 3: Cross multiply
    12,163x = 16,778.46 × 8,177.26
  4. Step 4: Simplify right side
    12,163x = 137,201,829.82
  5. Step 5: Solve for x
    x = 137,201,829.82/12,163
  6. Step 6: Final answer
    x = 11,280.26

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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.