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Finding the Fourth Proportional to 8,417, 11,615.82 and 4,691

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Solution

The fourth proportional to 8,417, 11,615.82 and 4,691 is: 6,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417 : 11,615.82 = 4,691 : x
  2. Step 2: Convert to fraction form
    8,417/11,615.82 = 4,691/x
  3. Step 3: Cross multiply
    8,417x = 11,615.82 × 4,691
  4. Step 4: Simplify right side
    8,417x = 54,489,811.62
  5. Step 5: Solve for x
    x = 54,489,811.62/8,417
  6. Step 6: Final answer
    x = 6,473.78

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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.