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Finding the Fourth Proportional to 20,882.80, 31,320.89 and 6,842.80

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Solution

The fourth proportional to 20,882.80, 31,320.89 and 6,842.80 is: 10,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.80 : 31,320.89 = 6,842.80 : x
  2. Step 2: Convert to fraction form
    20,882.80/31,320.89 = 6,842.80/x
  3. Step 3: Cross multiply
    20,882.80x = 31,320.89 × 6,842.80
  4. Step 4: Simplify right side
    20,882.80x = 214,322,395.27
  5. Step 5: Solve for x
    x = 214,322,395.27/20,882.80
  6. Step 6: Final answer
    x = 10,263.11

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1.5x scale

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.