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Finding the Fourth Proportional to 12,226, 18,338.88 and 3,459.76

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Solution

The fourth proportional to 12,226, 18,338.88 and 3,459.76 is: 5,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226 : 18,338.88 = 3,459.76 : x
  2. Step 2: Convert to fraction form
    12,226/18,338.88 = 3,459.76/x
  3. Step 3: Cross multiply
    12,226x = 18,338.88 × 3,459.76
  4. Step 4: Simplify right side
    12,226x = 63,448,123.47
  5. Step 5: Solve for x
    x = 63,448,123.47/12,226
  6. Step 6: Final answer
    x = 5,189.61

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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.