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Finding the Fourth Proportional to 5,213.77, 7,821.09 and 1,515.99

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Solution

The fourth proportional to 5,213.77, 7,821.09 and 1,515.99 is: 2,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.77 : 7,821.09 = 1,515.99 : x
  2. Step 2: Convert to fraction form
    5,213.77/7,821.09 = 1,515.99/x
  3. Step 3: Cross multiply
    5,213.77x = 7,821.09 × 1,515.99
  4. Step 4: Simplify right side
    5,213.77x = 11,856,706.20
  5. Step 5: Solve for x
    x = 11,856,706.20/5,213.77
  6. Step 6: Final answer
    x = 2,274.11

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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.