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Finding the Fourth Proportional to 12,609.10, 18,919.05 and 6,453.10

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Solution

The fourth proportional to 12,609.10, 18,919.05 and 6,453.10 is: 9,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.10 : 18,919.05 = 6,453.10 : x
  2. Step 2: Convert to fraction form
    12,609.10/18,919.05 = 6,453.10/x
  3. Step 3: Cross multiply
    12,609.10x = 18,919.05 × 6,453.10
  4. Step 4: Simplify right side
    12,609.10x = 122,086,521.56
  5. Step 5: Solve for x
    x = 122,086,521.56/12,609.10
  6. Step 6: Final answer
    x = 9,682.41

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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.