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Finding the Fourth Proportional to 13,676.77, 20,515.16 and 7,829.32

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Solution

The fourth proportional to 13,676.77, 20,515.16 and 7,829.32 is: 11,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.77 : 20,515.16 = 7,829.32 : x
  2. Step 2: Convert to fraction form
    13,676.77/20,515.16 = 7,829.32/x
  3. Step 3: Cross multiply
    13,676.77x = 20,515.16 × 7,829.32
  4. Step 4: Simplify right side
    13,676.77x = 160,619,610.77
  5. Step 5: Solve for x
    x = 160,619,610.77/13,676.77
  6. Step 6: Final answer
    x = 11,743.98

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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.