Home / 31,770-47,729.46-29,974.69

Finding the Fourth Proportional to 31,770, 47,729.46 and 29,974.69

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Solution

The fourth proportional to 31,770, 47,729.46 and 29,974.69 is: 45,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770 : 47,729.46 = 29,974.69 : x
  2. Step 2: Convert to fraction form
    31,770/47,729.46 = 29,974.69/x
  3. Step 3: Cross multiply
    31,770x = 47,729.46 × 29,974.69
  4. Step 4: Simplify right side
    31,770x = 1,430,675,939.43
  5. Step 5: Solve for x
    x = 1,430,675,939.43/31,770
  6. Step 6: Final answer
    x = 45,032.29

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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.