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Finding the Fourth Proportional to 5,791.04, 7,991.62 and 3,138.46

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Solution

The fourth proportional to 5,791.04, 7,991.62 and 3,138.46 is: 4,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.04 : 7,991.62 = 3,138.46 : x
  2. Step 2: Convert to fraction form
    5,791.04/7,991.62 = 3,138.46/x
  3. Step 3: Cross multiply
    5,791.04x = 7,991.62 × 3,138.46
  4. Step 4: Simplify right side
    5,791.04x = 25,081,379.71
  5. Step 5: Solve for x
    x = 25,081,379.71/5,791.04
  6. Step 6: Final answer
    x = 4,331.07

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1.5x scale

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.