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Finding the Fourth Proportional to 20,828, 31,242.04 and 8,516

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Solution

The fourth proportional to 20,828, 31,242.04 and 8,516 is: 12,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 31,242.04 = 8,516 : x
  2. Step 2: Convert to fraction form
    20,828/31,242.04 = 8,516/x
  3. Step 3: Cross multiply
    20,828x = 31,242.04 × 8,516
  4. Step 4: Simplify right side
    20,828x = 266,057,212.64
  5. Step 5: Solve for x
    x = 266,057,212.64/20,828
  6. Step 6: Final answer
    x = 12,774.02

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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.