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Finding the Fourth Proportional to 20,476.99, 30,716.10 and 5,687

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Solution

The fourth proportional to 20,476.99, 30,716.10 and 5,687 is: 8,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.99 : 30,716.10 = 5,687 : x
  2. Step 2: Convert to fraction form
    20,476.99/30,716.10 = 5,687/x
  3. Step 3: Cross multiply
    20,476.99x = 30,716.10 × 5,687
  4. Step 4: Simplify right side
    20,476.99x = 174,682,460.70
  5. Step 5: Solve for x
    x = 174,682,460.70/20,476.99
  6. Step 6: Final answer
    x = 8,530.67

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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.