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Finding the Fourth Proportional to 27,179, 40,766.68 and 7,455.91

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Solution

The fourth proportional to 27,179, 40,766.68 and 7,455.91 is: 11,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179 : 40,766.68 = 7,455.91 : x
  2. Step 2: Convert to fraction form
    27,179/40,766.68 = 7,455.91/x
  3. Step 3: Cross multiply
    27,179x = 40,766.68 × 7,455.91
  4. Step 4: Simplify right side
    27,179x = 303,952,697.08
  5. Step 5: Solve for x
    x = 303,952,697.08/27,179
  6. Step 6: Final answer
    x = 11,183.37

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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.