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Finding the Fourth Proportional to 27,147.78, 40,724.10 and 7,426.44

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Solution

The fourth proportional to 27,147.78, 40,724.10 and 7,426.44 is: 11,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,147.78 : 40,724.10 = 7,426.44 : x
  2. Step 2: Convert to fraction form
    27,147.78/40,724.10 = 7,426.44/x
  3. Step 3: Cross multiply
    27,147.78x = 40,724.10 × 7,426.44
  4. Step 4: Simplify right side
    27,147.78x = 302,435,085.20
  5. Step 5: Solve for x
    x = 302,435,085.20/27,147.78
  6. Step 6: Final answer
    x = 11,140.32

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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.