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Finding the Fourth Proportional to 20,633.88, 30,951.23 and 6,782.88

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Solution

The fourth proportional to 20,633.88, 30,951.23 and 6,782.88 is: 10,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,633.88 : 30,951.23 = 6,782.88 : x
  2. Step 2: Convert to fraction form
    20,633.88/30,951.23 = 6,782.88/x
  3. Step 3: Cross multiply
    20,633.88x = 30,951.23 × 6,782.88
  4. Step 4: Simplify right side
    20,633.88x = 209,938,478.94
  5. Step 5: Solve for x
    x = 209,938,478.94/20,633.88
  6. Step 6: Final answer
    x = 10,174.45

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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.