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Finding the Fourth Proportional to 12,645.42, 18,979.79 and 6,409.80

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Solution

The fourth proportional to 12,645.42, 18,979.79 and 6,409.80 is: 9,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.42 : 18,979.79 = 6,409.80 : x
  2. Step 2: Convert to fraction form
    12,645.42/18,979.79 = 6,409.80/x
  3. Step 3: Cross multiply
    12,645.42x = 18,979.79 × 6,409.80
  4. Step 4: Simplify right side
    12,645.42x = 121,656,625.89
  5. Step 5: Solve for x
    x = 121,656,625.89/12,645.42
  6. Step 6: Final answer
    x = 9,620.61

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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.