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Finding the Fourth Proportional to 13,844.70, 19,105.38 and 7,557.08

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Solution

The fourth proportional to 13,844.70, 19,105.38 and 7,557.08 is: 10,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.70 : 19,105.38 = 7,557.08 : x
  2. Step 2: Convert to fraction form
    13,844.70/19,105.38 = 7,557.08/x
  3. Step 3: Cross multiply
    13,844.70x = 19,105.38 × 7,557.08
  4. Step 4: Simplify right side
    13,844.70x = 144,380,789.56
  5. Step 5: Solve for x
    x = 144,380,789.56/13,844.70
  6. Step 6: Final answer
    x = 10,428.60

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Why These Related Problems?

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