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Finding the Fourth Proportional to 8,140.69, 11,221.90 and 6,369.22

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Solution

The fourth proportional to 8,140.69, 11,221.90 and 6,369.22 is: 8,779.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.69 : 11,221.90 = 6,369.22 : x
  2. Step 2: Convert to fraction form
    8,140.69/11,221.90 = 6,369.22/x
  3. Step 3: Cross multiply
    8,140.69x = 11,221.90 × 6,369.22
  4. Step 4: Simplify right side
    8,140.69x = 71,474,749.92
  5. Step 5: Solve for x
    x = 71,474,749.92/8,140.69
  6. Step 6: Final answer
    x = 8,779.94

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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.