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Finding the Fourth Proportional to 13,914, 19,201.32 and 7,626.40

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Solution

The fourth proportional to 13,914, 19,201.32 and 7,626.40 is: 10,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914 : 19,201.32 = 7,626.40 : x
  2. Step 2: Convert to fraction form
    13,914/19,201.32 = 7,626.40/x
  3. Step 3: Cross multiply
    13,914x = 19,201.32 × 7,626.40
  4. Step 4: Simplify right side
    13,914x = 146,436,946.85
  5. Step 5: Solve for x
    x = 146,436,946.85/13,914
  6. Step 6: Final answer
    x = 10,524.43

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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.