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Finding the Fourth Proportional to 8,649.94, 12,963.63 and 3,968.26

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Solution

The fourth proportional to 8,649.94, 12,963.63 and 3,968.26 is: 5,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.94 : 12,963.63 = 3,968.26 : x
  2. Step 2: Convert to fraction form
    8,649.94/12,963.63 = 3,968.26/x
  3. Step 3: Cross multiply
    8,649.94x = 12,963.63 × 3,968.26
  4. Step 4: Simplify right side
    8,649.94x = 51,443,054.38
  5. Step 5: Solve for x
    x = 51,443,054.38/8,649.94
  6. Step 6: Final answer
    x = 5,947.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.