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Finding the Fourth Proportional to 27,197, 40,799.82 and 12,405.80

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Solution

The fourth proportional to 27,197, 40,799.82 and 12,405.80 is: 18,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197 : 40,799.82 = 12,405.80 : x
  2. Step 2: Convert to fraction form
    27,197/40,799.82 = 12,405.80/x
  3. Step 3: Cross multiply
    27,197x = 40,799.82 × 12,405.80
  4. Step 4: Simplify right side
    27,197x = 506,154,406.96
  5. Step 5: Solve for x
    x = 506,154,406.96/27,197
  6. Step 6: Final answer
    x = 18,610.67

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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.