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Finding the Fourth Proportional to 5,156.97, 7,119.63 and 3,739.29

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Solution

The fourth proportional to 5,156.97, 7,119.63 and 3,739.29 is: 5,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.97 : 7,119.63 = 3,739.29 : x
  2. Step 2: Convert to fraction form
    5,156.97/7,119.63 = 3,739.29/x
  3. Step 3: Cross multiply
    5,156.97x = 7,119.63 × 3,739.29
  4. Step 4: Simplify right side
    5,156.97x = 26,622,370.36
  5. Step 5: Solve for x
    x = 26,622,370.36/5,156.97
  6. Step 6: Final answer
    x = 5,162.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.