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Finding the Fourth Proportional to 7,217.72, 10,820 and 2,834

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Solution

The fourth proportional to 7,217.72, 10,820 and 2,834 is: 4,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.72 : 10,820 = 2,834 : x
  2. Step 2: Convert to fraction form
    7,217.72/10,820 = 2,834/x
  3. Step 3: Cross multiply
    7,217.72x = 10,820 × 2,834
  4. Step 4: Simplify right side
    7,217.72x = 30,663,880
  5. Step 5: Solve for x
    x = 30,663,880/7,217.72
  6. Step 6: Final answer
    x = 4,248.42

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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.