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Finding the Fourth Proportional to 31,851.20, 47,719.20 and 27,243.20

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Solution

The fourth proportional to 31,851.20, 47,719.20 and 27,243.20 is: 40,815.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.20 : 47,719.20 = 27,243.20 : x
  2. Step 2: Convert to fraction form
    31,851.20/47,719.20 = 27,243.20/x
  3. Step 3: Cross multiply
    31,851.20x = 47,719.20 × 27,243.20
  4. Step 4: Simplify right side
    31,851.20x = 1,300,023,709.44
  5. Step 5: Solve for x
    x = 1,300,023,709.44/31,851.20
  6. Step 6: Final answer
    x = 40,815.53

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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.