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Finding the Fourth Proportional to 13,297.70, 19,940.46 and 3,934.38

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Solution

The fourth proportional to 13,297.70, 19,940.46 and 3,934.38 is: 5,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.70 : 19,940.46 = 3,934.38 : x
  2. Step 2: Convert to fraction form
    13,297.70/19,940.46 = 3,934.38/x
  3. Step 3: Cross multiply
    13,297.70x = 19,940.46 × 3,934.38
  4. Step 4: Simplify right side
    13,297.70x = 78,453,347.01
  5. Step 5: Solve for x
    x = 78,453,347.01/13,297.70
  6. Step 6: Final answer
    x = 5,899.77

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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.