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Finding the Fourth Proportional to 13,496.63, 20,237.09 and 5,177.21

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Solution

The fourth proportional to 13,496.63, 20,237.09 and 5,177.21 is: 7,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.63 : 20,237.09 = 5,177.21 : x
  2. Step 2: Convert to fraction form
    13,496.63/20,237.09 = 5,177.21/x
  3. Step 3: Cross multiply
    13,496.63x = 20,237.09 × 5,177.21
  4. Step 4: Simplify right side
    13,496.63x = 104,771,537.65
  5. Step 5: Solve for x
    x = 104,771,537.65/13,496.63
  6. Step 6: Final answer
    x = 7,762.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.