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Finding the Fourth Proportional to 13,914, 19,201.50 and 7,626.60

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Solution

The fourth proportional to 13,914, 19,201.50 and 7,626.60 is: 10,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914 : 19,201.50 = 7,626.60 : x
  2. Step 2: Convert to fraction form
    13,914/19,201.50 = 7,626.60/x
  3. Step 3: Cross multiply
    13,914x = 19,201.50 × 7,626.60
  4. Step 4: Simplify right side
    13,914x = 146,442,159.90
  5. Step 5: Solve for x
    x = 146,442,159.90/13,914
  6. Step 6: Final answer
    x = 10,524.81

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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.