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Finding the Fourth Proportional to 12,197.86, 18,325.98 and 7,823.86

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Solution

The fourth proportional to 12,197.86, 18,325.98 and 7,823.86 is: 11,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.86 : 18,325.98 = 7,823.86 : x
  2. Step 2: Convert to fraction form
    12,197.86/18,325.98 = 7,823.86/x
  3. Step 3: Cross multiply
    12,197.86x = 18,325.98 × 7,823.86
  4. Step 4: Simplify right side
    12,197.86x = 143,379,901.88
  5. Step 5: Solve for x
    x = 143,379,901.88/12,197.86
  6. Step 6: Final answer
    x = 11,754.51

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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.