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Finding the Fourth Proportional to 8,242.74, 11,375.97 and 4,657.86

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Solution

The fourth proportional to 8,242.74, 11,375.97 and 4,657.86 is: 6,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.74 : 11,375.97 = 4,657.86 : x
  2. Step 2: Convert to fraction form
    8,242.74/11,375.97 = 4,657.86/x
  3. Step 3: Cross multiply
    8,242.74x = 11,375.97 × 4,657.86
  4. Step 4: Simplify right side
    8,242.74x = 52,987,675.62
  5. Step 5: Solve for x
    x = 52,987,675.62/8,242.74
  6. Step 6: Final answer
    x = 6,428.41

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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.