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Finding the Fourth Proportional to 20,543.94, 30,815.82 and 7,396.30

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Solution

The fourth proportional to 20,543.94, 30,815.82 and 7,396.30 is: 11,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.94 : 30,815.82 = 7,396.30 : x
  2. Step 2: Convert to fraction form
    20,543.94/30,815.82 = 7,396.30/x
  3. Step 3: Cross multiply
    20,543.94x = 30,815.82 × 7,396.30
  4. Step 4: Simplify right side
    20,543.94x = 227,923,049.47
  5. Step 5: Solve for x
    x = 227,923,049.47/20,543.94
  6. Step 6: Final answer
    x = 11,094.42

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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.