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Finding the Fourth Proportional to 13,634.70, 20,450.97 and 4,868.70

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Solution

The fourth proportional to 13,634.70, 20,450.97 and 4,868.70 is: 7,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.70 : 20,450.97 = 4,868.70 : x
  2. Step 2: Convert to fraction form
    13,634.70/20,450.97 = 4,868.70/x
  3. Step 3: Cross multiply
    13,634.70x = 20,450.97 × 4,868.70
  4. Step 4: Simplify right side
    13,634.70x = 99,569,637.64
  5. Step 5: Solve for x
    x = 99,569,637.64/13,634.70
  6. Step 6: Final answer
    x = 7,302.66

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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.