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Finding the Fourth Proportional to 13,898, 19,179.24 and 7,610.39

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Solution

The fourth proportional to 13,898, 19,179.24 and 7,610.39 is: 10,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898 : 19,179.24 = 7,610.39 : x
  2. Step 2: Convert to fraction form
    13,898/19,179.24 = 7,610.39/x
  3. Step 3: Cross multiply
    13,898x = 19,179.24 × 7,610.39
  4. Step 4: Simplify right side
    13,898x = 145,961,496.30
  5. Step 5: Solve for x
    x = 145,961,496.30/13,898
  6. Step 6: Final answer
    x = 10,502.34

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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.