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Finding the Fourth Proportional to 12,209.67, 18,310.86 and 6,661.98

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Solution

The fourth proportional to 12,209.67, 18,310.86 and 6,661.98 is: 9,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.67 : 18,310.86 = 6,661.98 : x
  2. Step 2: Convert to fraction form
    12,209.67/18,310.86 = 6,661.98/x
  3. Step 3: Cross multiply
    12,209.67x = 18,310.86 × 6,661.98
  4. Step 4: Simplify right side
    12,209.67x = 121,986,583.10
  5. Step 5: Solve for x
    x = 121,986,583.10/12,209.67
  6. Step 6: Final answer
    x = 9,990.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.