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Finding the Fourth Proportional to 13,524.64, 20,290.16 and 4,290.64

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Solution

The fourth proportional to 13,524.64, 20,290.16 and 4,290.64 is: 6,436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.64 : 20,290.16 = 4,290.64 : x
  2. Step 2: Convert to fraction form
    13,524.64/20,290.16 = 4,290.64/x
  3. Step 3: Cross multiply
    13,524.64x = 20,290.16 × 4,290.64
  4. Step 4: Simplify right side
    13,524.64x = 87,057,772.10
  5. Step 5: Solve for x
    x = 87,057,772.10/13,524.64
  6. Step 6: Final answer
    x = 6,436.98

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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.