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Finding the Fourth Proportional to 13,676.55, 20,500 and 7,003.90

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Solution

The fourth proportional to 13,676.55, 20,500 and 7,003.90 is: 10,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.55 : 20,500 = 7,003.90 : x
  2. Step 2: Convert to fraction form
    13,676.55/20,500 = 7,003.90/x
  3. Step 3: Cross multiply
    13,676.55x = 20,500 × 7,003.90
  4. Step 4: Simplify right side
    13,676.55x = 143,579,950
  5. Step 5: Solve for x
    x = 143,579,950/13,676.55
  6. Step 6: Final answer
    x = 10,498.26

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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.