Home / 31,954-47,929.24-12,231.04

Finding the Fourth Proportional to 31,954, 47,929.24 and 12,231.04

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Solution

The fourth proportional to 31,954, 47,929.24 and 12,231.04 is: 18,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954 : 47,929.24 = 12,231.04 : x
  2. Step 2: Convert to fraction form
    31,954/47,929.24 = 12,231.04/x
  3. Step 3: Cross multiply
    31,954x = 47,929.24 × 12,231.04
  4. Step 4: Simplify right side
    31,954x = 586,224,451.61
  5. Step 5: Solve for x
    x = 586,224,451.61/31,954
  6. Step 6: Final answer
    x = 18,345.89

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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.