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Finding the Fourth Proportional to 20,174.60, 30,266 and 7,028

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Solution

The fourth proportional to 20,174.60, 30,266 and 7,028 is: 10,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,174.60 : 30,266 = 7,028 : x
  2. Step 2: Convert to fraction form
    20,174.60/30,266 = 7,028/x
  3. Step 3: Cross multiply
    20,174.60x = 30,266 × 7,028
  4. Step 4: Simplify right side
    20,174.60x = 212,709,448
  5. Step 5: Solve for x
    x = 212,709,448/20,174.60
  6. Step 6: Final answer
    x = 10,543.43

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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.