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Finding the Fourth Proportional to 12,306, 18,428.84 and 11,122.64

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Solution

The fourth proportional to 12,306, 18,428.84 and 11,122.64 is: 16,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306 : 18,428.84 = 11,122.64 : x
  2. Step 2: Convert to fraction form
    12,306/18,428.84 = 11,122.64/x
  3. Step 3: Cross multiply
    12,306x = 18,428.84 × 11,122.64
  4. Step 4: Simplify right side
    12,306x = 204,977,352.94
  5. Step 5: Solve for x
    x = 204,977,352.94/12,306
  6. Step 6: Final answer
    x = 16,656.70

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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.