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Finding the Fourth Proportional to 13,139.70, 19,709.55 and 3,905.70

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Solution

The fourth proportional to 13,139.70, 19,709.55 and 3,905.70 is: 5,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.70 : 19,709.55 = 3,905.70 : x
  2. Step 2: Convert to fraction form
    13,139.70/19,709.55 = 3,905.70/x
  3. Step 3: Cross multiply
    13,139.70x = 19,709.55 × 3,905.70
  4. Step 4: Simplify right side
    13,139.70x = 76,979,589.44
  5. Step 5: Solve for x
    x = 76,979,589.44/13,139.70
  6. Step 6: Final answer
    x = 5,858.55

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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.