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Finding the Fourth Proportional to 12,584.58, 18,809.06 and 10,990.80

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Solution

The fourth proportional to 12,584.58, 18,809.06 and 10,990.80 is: 16,426.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.58 : 18,809.06 = 10,990.80 : x
  2. Step 2: Convert to fraction form
    12,584.58/18,809.06 = 10,990.80/x
  3. Step 3: Cross multiply
    12,584.58x = 18,809.06 × 10,990.80
  4. Step 4: Simplify right side
    12,584.58x = 206,726,616.65
  5. Step 5: Solve for x
    x = 206,726,616.65/12,584.58
  6. Step 6: Final answer
    x = 16,426.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.