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Finding the Fourth Proportional to 27,140.78, 40,713.60 and 7,419.44

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Solution

The fourth proportional to 27,140.78, 40,713.60 and 7,419.44 is: 11,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,140.78 : 40,713.60 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    27,140.78/40,713.60 = 7,419.44/x
  3. Step 3: Cross multiply
    27,140.78x = 40,713.60 × 7,419.44
  4. Step 4: Simplify right side
    27,140.78x = 302,072,112.38
  5. Step 5: Solve for x
    x = 302,072,112.38/27,140.78
  6. Step 6: Final answer
    x = 11,129.82

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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.