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Finding the Fourth Proportional to 12,195.96, 16,818.12 and 9,950.64

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Solution

The fourth proportional to 12,195.96, 16,818.12 and 9,950.64 is: 13,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.96 : 16,818.12 = 9,950.64 : x
  2. Step 2: Convert to fraction form
    12,195.96/16,818.12 = 9,950.64/x
  3. Step 3: Cross multiply
    12,195.96x = 16,818.12 × 9,950.64
  4. Step 4: Simplify right side
    12,195.96x = 167,351,057.60
  5. Step 5: Solve for x
    x = 167,351,057.60/12,195.96
  6. Step 6: Final answer
    x = 13,721.84

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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.