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Finding the Fourth Proportional to 20,289, 30,433.56 and 7,977

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Solution

The fourth proportional to 20,289, 30,433.56 and 7,977 is: 11,965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289 : 30,433.56 = 7,977 : x
  2. Step 2: Convert to fraction form
    20,289/30,433.56 = 7,977/x
  3. Step 3: Cross multiply
    20,289x = 30,433.56 × 7,977
  4. Step 4: Simplify right side
    20,289x = 242,768,508.12
  5. Step 5: Solve for x
    x = 242,768,508.12/20,289
  6. Step 6: Final answer
    x = 11,965.52

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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.