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Finding the Fourth Proportional to 20,477, 30,715.50 and 5,885

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Solution

The fourth proportional to 20,477, 30,715.50 and 5,885 is: 8,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477 : 30,715.50 = 5,885 : x
  2. Step 2: Convert to fraction form
    20,477/30,715.50 = 5,885/x
  3. Step 3: Cross multiply
    20,477x = 30,715.50 × 5,885
  4. Step 4: Simplify right side
    20,477x = 180,760,717.50
  5. Step 5: Solve for x
    x = 180,760,717.50/20,477
  6. Step 6: Final answer
    x = 8,827.50

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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.