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Finding the Fourth Proportional to 13,578.64, 20,361.50 and 5,262.54

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Solution

The fourth proportional to 13,578.64, 20,361.50 and 5,262.54 is: 7,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.64 : 20,361.50 = 5,262.54 : x
  2. Step 2: Convert to fraction form
    13,578.64/20,361.50 = 5,262.54/x
  3. Step 3: Cross multiply
    13,578.64x = 20,361.50 × 5,262.54
  4. Step 4: Simplify right side
    13,578.64x = 107,153,208.21
  5. Step 5: Solve for x
    x = 107,153,208.21/13,578.64
  6. Step 6: Final answer
    x = 7,891.31

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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.