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Finding the Fourth Proportional to 8,218.71, 11,342 and 4,634.80

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Solution

The fourth proportional to 8,218.71, 11,342 and 4,634.80 is: 6,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.71 : 11,342 = 4,634.80 : x
  2. Step 2: Convert to fraction form
    8,218.71/11,342 = 4,634.80/x
  3. Step 3: Cross multiply
    8,218.71x = 11,342 × 4,634.80
  4. Step 4: Simplify right side
    8,218.71x = 52,567,901.60
  5. Step 5: Solve for x
    x = 52,567,901.60/8,218.71
  6. Step 6: Final answer
    x = 6,396.13

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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.