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Finding the Fourth Proportional to 13,139.41, 19,709.10 and 3,905.41

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Solution

The fourth proportional to 13,139.41, 19,709.10 and 3,905.41 is: 5,858.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.41 : 19,709.10 = 3,905.41 : x
  2. Step 2: Convert to fraction form
    13,139.41/19,709.10 = 3,905.41/x
  3. Step 3: Cross multiply
    13,139.41x = 19,709.10 × 3,905.41
  4. Step 4: Simplify right side
    13,139.41x = 76,972,116.23
  5. Step 5: Solve for x
    x = 76,972,116.23/13,139.41
  6. Step 6: Final answer
    x = 5,858.11

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Why These Related Problems?

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