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Finding the Fourth Proportional to 19,214.80, 28,845.60 and 12,194.80

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Solution

The fourth proportional to 19,214.80, 28,845.60 and 12,194.80 is: 18,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.80 : 28,845.60 = 12,194.80 : x
  2. Step 2: Convert to fraction form
    19,214.80/28,845.60 = 12,194.80/x
  3. Step 3: Cross multiply
    19,214.80x = 28,845.60 × 12,194.80
  4. Step 4: Simplify right side
    19,214.80x = 351,766,322.88
  5. Step 5: Solve for x
    x = 351,766,322.88/19,214.80
  6. Step 6: Final answer
    x = 18,307.05

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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.