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Finding the Fourth Proportional to 19,770.86, 27,290.76 and 12,223.02

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Solution

The fourth proportional to 19,770.86, 27,290.76 and 12,223.02 is: 16,872.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.86 : 27,290.76 = 12,223.02 : x
  2. Step 2: Convert to fraction form
    19,770.86/27,290.76 = 12,223.02/x
  3. Step 3: Cross multiply
    19,770.86x = 27,290.76 × 12,223.02
  4. Step 4: Simplify right side
    19,770.86x = 333,575,505.30
  5. Step 5: Solve for x
    x = 333,575,505.30/19,770.86
  6. Step 6: Final answer
    x = 16,872.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.