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Finding the Fourth Proportional to 5,213.88, 7,821.92 and 1,927

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Solution

The fourth proportional to 5,213.88, 7,821.92 and 1,927 is: 2,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.88 : 7,821.92 = 1,927 : x
  2. Step 2: Convert to fraction form
    5,213.88/7,821.92 = 1,927/x
  3. Step 3: Cross multiply
    5,213.88x = 7,821.92 × 1,927
  4. Step 4: Simplify right side
    5,213.88x = 15,072,839.84
  5. Step 5: Solve for x
    x = 15,072,839.84/5,213.88
  6. Step 6: Final answer
    x = 2,890.91

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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.