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Finding the Fourth Proportional to 13,504.81, 20,257.21 and 3,644.09

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Solution

The fourth proportional to 13,504.81, 20,257.21 and 3,644.09 is: 5,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.81 : 20,257.21 = 3,644.09 : x
  2. Step 2: Convert to fraction form
    13,504.81/20,257.21 = 3,644.09/x
  3. Step 3: Cross multiply
    13,504.81x = 20,257.21 × 3,644.09
  4. Step 4: Simplify right side
    13,504.81x = 73,818,999.66
  5. Step 5: Solve for x
    x = 73,818,999.66/13,504.81
  6. Step 6: Final answer
    x = 5,466.13

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1.5x scale

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.