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Finding the Fourth Proportional to 12,777, 17,633.88 and 7,189.08

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Solution

The fourth proportional to 12,777, 17,633.88 and 7,189.08 is: 9,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777 : 17,633.88 = 7,189.08 : x
  2. Step 2: Convert to fraction form
    12,777/17,633.88 = 7,189.08/x
  3. Step 3: Cross multiply
    12,777x = 17,633.88 × 7,189.08
  4. Step 4: Simplify right side
    12,777x = 126,771,374.03
  5. Step 5: Solve for x
    x = 126,771,374.03/12,777
  6. Step 6: Final answer
    x = 9,921.84

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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.