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Finding the Fourth Proportional to 5,216.88, 7,827 and 1,930.44

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Solution

The fourth proportional to 5,216.88, 7,827 and 1,930.44 is: 2,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.88 : 7,827 = 1,930.44 : x
  2. Step 2: Convert to fraction form
    5,216.88/7,827 = 1,930.44/x
  3. Step 3: Cross multiply
    5,216.88x = 7,827 × 1,930.44
  4. Step 4: Simplify right side
    5,216.88x = 15,109,553.88
  5. Step 5: Solve for x
    x = 15,109,553.88/5,216.88
  6. Step 6: Final answer
    x = 2,896.28

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1.5x scale

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.