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Finding the Fourth Proportional to 5,796.81, 7,998.26 and 3,911.90

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Solution

The fourth proportional to 5,796.81, 7,998.26 and 3,911.90 is: 5,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.81 : 7,998.26 = 3,911.90 : x
  2. Step 2: Convert to fraction form
    5,796.81/7,998.26 = 3,911.90/x
  3. Step 3: Cross multiply
    5,796.81x = 7,998.26 × 3,911.90
  4. Step 4: Simplify right side
    5,796.81x = 31,288,333.74
  5. Step 5: Solve for x
    x = 31,288,333.74/5,796.81
  6. Step 6: Final answer
    x = 5,397.51

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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.