Home / 20,782.80-31,169.34-7,628.04

Finding the Fourth Proportional to 20,782.80, 31,169.34 and 7,628.04

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Solution

The fourth proportional to 20,782.80, 31,169.34 and 7,628.04 is: 11,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.80 : 31,169.34 = 7,628.04 : x
  2. Step 2: Convert to fraction form
    20,782.80/31,169.34 = 7,628.04/x
  3. Step 3: Cross multiply
    20,782.80x = 31,169.34 × 7,628.04
  4. Step 4: Simplify right side
    20,782.80x = 237,760,972.29
  5. Step 5: Solve for x
    x = 237,760,972.29/20,782.80
  6. Step 6: Final answer
    x = 11,440.28

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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.