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Finding the Fourth Proportional to 8,965.22, 13,448.43 and 3,122.28

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Solution

The fourth proportional to 8,965.22, 13,448.43 and 3,122.28 is: 4,683.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.22 : 13,448.43 = 3,122.28 : x
  2. Step 2: Convert to fraction form
    8,965.22/13,448.43 = 3,122.28/x
  3. Step 3: Cross multiply
    8,965.22x = 13,448.43 × 3,122.28
  4. Step 4: Simplify right side
    8,965.22x = 41,989,764.02
  5. Step 5: Solve for x
    x = 41,989,764.02/8,965.22
  6. Step 6: Final answer
    x = 4,683.63

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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.