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Finding the Fourth Proportional to 20,655.42, 30,972.15 and 8,174.94

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Solution

The fourth proportional to 20,655.42, 30,972.15 and 8,174.94 is: 12,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655.42 : 30,972.15 = 8,174.94 : x
  2. Step 2: Convert to fraction form
    20,655.42/30,972.15 = 8,174.94/x
  3. Step 3: Cross multiply
    20,655.42x = 30,972.15 × 8,174.94
  4. Step 4: Simplify right side
    20,655.42x = 253,195,467.92
  5. Step 5: Solve for x
    x = 253,195,467.92/20,655.42
  6. Step 6: Final answer
    x = 12,258.06

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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.