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Finding the Fourth Proportional to 8,174.86, 11,291.87 and 6,764.24

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Solution

The fourth proportional to 8,174.86, 11,291.87 and 6,764.24 is: 9,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.86 : 11,291.87 = 6,764.24 : x
  2. Step 2: Convert to fraction form
    8,174.86/11,291.87 = 6,764.24/x
  3. Step 3: Cross multiply
    8,174.86x = 11,291.87 × 6,764.24
  4. Step 4: Simplify right side
    8,174.86x = 76,380,963.87
  5. Step 5: Solve for x
    x = 76,380,963.87/8,174.86
  6. Step 6: Final answer
    x = 9,343.40

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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.