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Finding the Fourth Proportional to 12,205.84, 16,841.23 and 7,169.80

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Solution

The fourth proportional to 12,205.84, 16,841.23 and 7,169.80 is: 9,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.84 : 16,841.23 = 7,169.80 : x
  2. Step 2: Convert to fraction form
    12,205.84/16,841.23 = 7,169.80/x
  3. Step 3: Cross multiply
    12,205.84x = 16,841.23 × 7,169.80
  4. Step 4: Simplify right side
    12,205.84x = 120,748,250.85
  5. Step 5: Solve for x
    x = 120,748,250.85/12,205.84
  6. Step 6: Final answer
    x = 9,892.66

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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.