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Finding the Fourth Proportional to 6,742.93, 9,305.27 and 3,911.98

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Solution

The fourth proportional to 6,742.93, 9,305.27 and 3,911.98 is: 5,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.93 : 9,305.27 = 3,911.98 : x
  2. Step 2: Convert to fraction form
    6,742.93/9,305.27 = 3,911.98/x
  3. Step 3: Cross multiply
    6,742.93x = 9,305.27 × 3,911.98
  4. Step 4: Simplify right side
    6,742.93x = 36,401,964.05
  5. Step 5: Solve for x
    x = 36,401,964.05/6,742.93
  6. Step 6: Final answer
    x = 5,398.54

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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.