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Finding the Fourth Proportional to 13,512.64, 20,255.19 and 7,656.88

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Solution

The fourth proportional to 13,512.64, 20,255.19 and 7,656.88 is: 11,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,512.64 : 20,255.19 = 7,656.88 : x
  2. Step 2: Convert to fraction form
    13,512.64/20,255.19 = 7,656.88/x
  3. Step 3: Cross multiply
    13,512.64x = 20,255.19 × 7,656.88
  4. Step 4: Simplify right side
    13,512.64x = 155,091,559.21
  5. Step 5: Solve for x
    x = 155,091,559.21/13,512.64
  6. Step 6: Final answer
    x = 11,477.52

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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.