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Finding the Fourth Proportional to 12,190.80, 16,823.07 and 6,885.84

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Solution

The fourth proportional to 12,190.80, 16,823.07 and 6,885.84 is: 9,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.80 : 16,823.07 = 6,885.84 : x
  2. Step 2: Convert to fraction form
    12,190.80/16,823.07 = 6,885.84/x
  3. Step 3: Cross multiply
    12,190.80x = 16,823.07 × 6,885.84
  4. Step 4: Simplify right side
    12,190.80x = 115,840,968.33
  5. Step 5: Solve for x
    x = 115,840,968.33/12,190.80
  6. Step 6: Final answer
    x = 9,502.33

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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.