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Finding the Fourth Proportional to 5,154, 7,726.92 and 2,556.24

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Solution

The fourth proportional to 5,154, 7,726.92 and 2,556.24 is: 3,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 7,726.92 = 2,556.24 : x
  2. Step 2: Convert to fraction form
    5,154/7,726.92 = 2,556.24/x
  3. Step 3: Cross multiply
    5,154x = 7,726.92 × 2,556.24
  4. Step 4: Simplify right side
    5,154x = 19,751,861.98
  5. Step 5: Solve for x
    x = 19,751,861.98/5,154
  6. Step 6: Final answer
    x = 3,832.34

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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.