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Finding the Fourth Proportional to 13,855.70, 19,122 and 7,889.24

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Solution

The fourth proportional to 13,855.70, 19,122 and 7,889.24 is: 10,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.70 : 19,122 = 7,889.24 : x
  2. Step 2: Convert to fraction form
    13,855.70/19,122 = 7,889.24/x
  3. Step 3: Cross multiply
    13,855.70x = 19,122 × 7,889.24
  4. Step 4: Simplify right side
    13,855.70x = 150,858,047.28
  5. Step 5: Solve for x
    x = 150,858,047.28/13,855.70
  6. Step 6: Final answer
    x = 10,887.80

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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.