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Finding the Fourth Proportional to 27,122, 40,678.20 and 12,327.44

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Solution

The fourth proportional to 27,122, 40,678.20 and 12,327.44 is: 18,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122 : 40,678.20 = 12,327.44 : x
  2. Step 2: Convert to fraction form
    27,122/40,678.20 = 12,327.44/x
  3. Step 3: Cross multiply
    27,122x = 40,678.20 × 12,327.44
  4. Step 4: Simplify right side
    27,122x = 501,458,069.81
  5. Step 5: Solve for x
    x = 501,458,069.81/27,122
  6. Step 6: Final answer
    x = 18,488.98

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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.