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Finding the Fourth Proportional to 12,405.43, 18,623.94 and 8,041.15

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Solution

The fourth proportional to 12,405.43, 18,623.94 and 8,041.15 is: 12,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.43 : 18,623.94 = 8,041.15 : x
  2. Step 2: Convert to fraction form
    12,405.43/18,623.94 = 8,041.15/x
  3. Step 3: Cross multiply
    12,405.43x = 18,623.94 × 8,041.15
  4. Step 4: Simplify right side
    12,405.43x = 149,757,895.13
  5. Step 5: Solve for x
    x = 149,757,895.13/12,405.43
  6. Step 6: Final answer
    x = 12,071.96

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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.