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Finding the Fourth Proportional to 5,192, 7,788 and 1,729.52

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Solution

The fourth proportional to 5,192, 7,788 and 1,729.52 is: 2,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,788 = 1,729.52 : x
  2. Step 2: Convert to fraction form
    5,192/7,788 = 1,729.52/x
  3. Step 3: Cross multiply
    5,192x = 7,788 × 1,729.52
  4. Step 4: Simplify right side
    5,192x = 13,469,501.76
  5. Step 5: Solve for x
    x = 13,469,501.76/5,192
  6. Step 6: Final answer
    x = 2,594.28

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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.