Home / 31,786.40-47,654.68-20,075

Finding the Fourth Proportional to 31,786.40, 47,654.68 and 20,075

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Solution

The fourth proportional to 31,786.40, 47,654.68 and 20,075 is: 30,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786.40 : 47,654.68 = 20,075 : x
  2. Step 2: Convert to fraction form
    31,786.40/47,654.68 = 20,075/x
  3. Step 3: Cross multiply
    31,786.40x = 47,654.68 × 20,075
  4. Step 4: Simplify right side
    31,786.40x = 956,667,701
  5. Step 5: Solve for x
    x = 956,667,701/31,786.40
  6. Step 6: Final answer
    x = 30,096.76

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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.