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Finding the Fourth Proportional to 20,308.38, 30,465 and 7,158.03

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Solution

The fourth proportional to 20,308.38, 30,465 and 7,158.03 is: 10,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308.38 : 30,465 = 7,158.03 : x
  2. Step 2: Convert to fraction form
    20,308.38/30,465 = 7,158.03/x
  3. Step 3: Cross multiply
    20,308.38x = 30,465 × 7,158.03
  4. Step 4: Simplify right side
    20,308.38x = 218,069,383.95
  5. Step 5: Solve for x
    x = 218,069,383.95/20,308.38
  6. Step 6: Final answer
    x = 10,737.90

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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.