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Finding the Fourth Proportional to 13,191.18, 19,777.20 and 6,167.27

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Solution

The fourth proportional to 13,191.18, 19,777.20 and 6,167.27 is: 9,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.18 : 19,777.20 = 6,167.27 : x
  2. Step 2: Convert to fraction form
    13,191.18/19,777.20 = 6,167.27/x
  3. Step 3: Cross multiply
    13,191.18x = 19,777.20 × 6,167.27
  4. Step 4: Simplify right side
    13,191.18x = 121,971,233.36
  5. Step 5: Solve for x
    x = 121,971,233.36/13,191.18
  6. Step 6: Final answer
    x = 9,246.42

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