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Finding the Fourth Proportional to 4,978.71, 6,864.26 and 3,784.97

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Solution

The fourth proportional to 4,978.71, 6,864.26 and 3,784.97 is: 5,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.71 : 6,864.26 = 3,784.97 : x
  2. Step 2: Convert to fraction form
    4,978.71/6,864.26 = 3,784.97/x
  3. Step 3: Cross multiply
    4,978.71x = 6,864.26 × 3,784.97
  4. Step 4: Simplify right side
    4,978.71x = 25,981,016.41
  5. Step 5: Solve for x
    x = 25,981,016.41/4,978.71
  6. Step 6: Final answer
    x = 5,218.42

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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.