Home / 20,782.16-31,176.44-6,930

Finding the Fourth Proportional to 20,782.16, 31,176.44 and 6,930

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Solution

The fourth proportional to 20,782.16, 31,176.44 and 6,930 is: 10,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.16 : 31,176.44 = 6,930 : x
  2. Step 2: Convert to fraction form
    20,782.16/31,176.44 = 6,930/x
  3. Step 3: Cross multiply
    20,782.16x = 31,176.44 × 6,930
  4. Step 4: Simplify right side
    20,782.16x = 216,052,729.20
  5. Step 5: Solve for x
    x = 216,052,729.20/20,782.16
  6. Step 6: Final answer
    x = 10,396.07

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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.