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Finding the Fourth Proportional to 12,649.82, 18,975.11 and 3,289.64

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Solution

The fourth proportional to 12,649.82, 18,975.11 and 3,289.64 is: 4,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.82 : 18,975.11 = 3,289.64 : x
  2. Step 2: Convert to fraction form
    12,649.82/18,975.11 = 3,289.64/x
  3. Step 3: Cross multiply
    12,649.82x = 18,975.11 × 3,289.64
  4. Step 4: Simplify right side
    12,649.82x = 62,421,169.54
  5. Step 5: Solve for x
    x = 62,421,169.54/12,649.82
  6. Step 6: Final answer
    x = 4,934.55

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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.