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Finding the Fourth Proportional to 8,470.94, 11,691.86 and 5,638.43

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Solution

The fourth proportional to 8,470.94, 11,691.86 and 5,638.43 is: 7,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.94 : 11,691.86 = 5,638.43 : x
  2. Step 2: Convert to fraction form
    8,470.94/11,691.86 = 5,638.43/x
  3. Step 3: Cross multiply
    8,470.94x = 11,691.86 × 5,638.43
  4. Step 4: Simplify right side
    8,470.94x = 65,923,735.22
  5. Step 5: Solve for x
    x = 65,923,735.22/8,470.94
  6. Step 6: Final answer
    x = 7,782.34

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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.