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Finding the Fourth Proportional to 13,782.68, 20,654.87 and 7,195.73

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Solution

The fourth proportional to 13,782.68, 20,654.87 and 7,195.73 is: 10,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.68 : 20,654.87 = 7,195.73 : x
  2. Step 2: Convert to fraction form
    13,782.68/20,654.87 = 7,195.73/x
  3. Step 3: Cross multiply
    13,782.68x = 20,654.87 × 7,195.73
  4. Step 4: Simplify right side
    13,782.68x = 148,626,728.45
  5. Step 5: Solve for x
    x = 148,626,728.45/13,782.68
  6. Step 6: Final answer
    x = 10,783.59

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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.