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Finding the Fourth Proportional to 13,842.55, 19,101.52 and 8,177.56

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Solution

The fourth proportional to 13,842.55, 19,101.52 and 8,177.56 is: 11,284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.55 : 19,101.52 = 8,177.56 : x
  2. Step 2: Convert to fraction form
    13,842.55/19,101.52 = 8,177.56/x
  3. Step 3: Cross multiply
    13,842.55x = 19,101.52 × 8,177.56
  4. Step 4: Simplify right side
    13,842.55x = 156,203,788.36
  5. Step 5: Solve for x
    x = 156,203,788.36/13,842.55
  6. Step 6: Final answer
    x = 11,284.33

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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.