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Finding the Fourth Proportional to 20,824.25, 31,238.80 and 20,824.25

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Solution

The fourth proportional to 20,824.25, 31,238.80 and 20,824.25 is: 31,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824.25 : 31,238.80 = 20,824.25 : x
  2. Step 2: Convert to fraction form
    20,824.25/31,238.80 = 20,824.25/x
  3. Step 3: Cross multiply
    20,824.25x = 31,238.80 × 20,824.25
  4. Step 4: Simplify right side
    20,824.25x = 650,524,372.65
  5. Step 5: Solve for x
    x = 650,524,372.65/20,824.25
  6. Step 6: Final answer
    x = 31,238.80

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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.