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Finding the Fourth Proportional to 12,269.79, 16,932.11 and 7,234.20

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Solution

The fourth proportional to 12,269.79, 16,932.11 and 7,234.20 is: 9,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.79 : 16,932.11 = 7,234.20 : x
  2. Step 2: Convert to fraction form
    12,269.79/16,932.11 = 7,234.20/x
  3. Step 3: Cross multiply
    12,269.79x = 16,932.11 × 7,234.20
  4. Step 4: Simplify right side
    12,269.79x = 122,490,233.99
  5. Step 5: Solve for x
    x = 122,490,233.99/12,269.79
  6. Step 6: Final answer
    x = 9,983.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.