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Finding the Fourth Proportional to 13,676.46, 20,488.89 and 7,815.42

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Solution

The fourth proportional to 13,676.46, 20,488.89 and 7,815.42 is: 11,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.46 : 20,488.89 = 7,815.42 : x
  2. Step 2: Convert to fraction form
    13,676.46/20,488.89 = 7,815.42/x
  3. Step 3: Cross multiply
    13,676.46x = 20,488.89 × 7,815.42
  4. Step 4: Simplify right side
    13,676.46x = 160,129,280.68
  5. Step 5: Solve for x
    x = 160,129,280.68/13,676.46
  6. Step 6: Final answer
    x = 11,708.39

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1.5x scale

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.