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Finding the Fourth Proportional to 13,506.56, 20,259.84 and 3,645.84

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Solution

The fourth proportional to 13,506.56, 20,259.84 and 3,645.84 is: 5,468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.56 : 20,259.84 = 3,645.84 : x
  2. Step 2: Convert to fraction form
    13,506.56/20,259.84 = 3,645.84/x
  3. Step 3: Cross multiply
    13,506.56x = 20,259.84 × 3,645.84
  4. Step 4: Simplify right side
    13,506.56x = 73,864,135.07
  5. Step 5: Solve for x
    x = 73,864,135.07/13,506.56
  6. Step 6: Final answer
    x = 5,468.76

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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.