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Finding the Fourth Proportional to 8,469.90, 11,690.94 and 5,641.38

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Solution

The fourth proportional to 8,469.90, 11,690.94 and 5,641.38 is: 7,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.90 : 11,690.94 = 5,641.38 : x
  2. Step 2: Convert to fraction form
    8,469.90/11,690.94 = 5,641.38/x
  3. Step 3: Cross multiply
    8,469.90x = 11,690.94 × 5,641.38
  4. Step 4: Simplify right side
    8,469.90x = 65,953,035.10
  5. Step 5: Solve for x
    x = 65,953,035.10/8,469.90
  6. Step 6: Final answer
    x = 7,786.75

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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.