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Finding the Fourth Proportional to 31,849.40, 47,708.40 and 18,661.80

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Solution

The fourth proportional to 31,849.40, 47,708.40 and 18,661.80 is: 27,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.40 : 47,708.40 = 18,661.80 : x
  2. Step 2: Convert to fraction form
    31,849.40/47,708.40 = 18,661.80/x
  3. Step 3: Cross multiply
    31,849.40x = 47,708.40 × 18,661.80
  4. Step 4: Simplify right side
    31,849.40x = 890,324,619.12
  5. Step 5: Solve for x
    x = 890,324,619.12/31,849.40
  6. Step 6: Final answer
    x = 27,954.20

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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.