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Finding the Fourth Proportional to 13,841.17, 19,101.84 and 7,874.76

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Solution

The fourth proportional to 13,841.17, 19,101.84 and 7,874.76 is: 10,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.17 : 19,101.84 = 7,874.76 : x
  2. Step 2: Convert to fraction form
    13,841.17/19,101.84 = 7,874.76/x
  3. Step 3: Cross multiply
    13,841.17x = 19,101.84 × 7,874.76
  4. Step 4: Simplify right side
    13,841.17x = 150,422,405.56
  5. Step 5: Solve for x
    x = 150,422,405.56/13,841.17
  6. Step 6: Final answer
    x = 10,867.75

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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.