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Finding the Fourth Proportional to 13,502, 20,262 and 5,188.88

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Solution

The fourth proportional to 13,502, 20,262 and 5,188.88 is: 7,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502 : 20,262 = 5,188.88 : x
  2. Step 2: Convert to fraction form
    13,502/20,262 = 5,188.88/x
  3. Step 3: Cross multiply
    13,502x = 20,262 × 5,188.88
  4. Step 4: Simplify right side
    13,502x = 105,137,086.56
  5. Step 5: Solve for x
    x = 105,137,086.56/13,502
  6. Step 6: Final answer
    x = 7,786.78

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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.