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Finding the Fourth Proportional to 8,965.31, 13,448.03 and 3,121.90

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Solution

The fourth proportional to 8,965.31, 13,448.03 and 3,121.90 is: 4,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.31 : 13,448.03 = 3,121.90 : x
  2. Step 2: Convert to fraction form
    8,965.31/13,448.03 = 3,121.90/x
  3. Step 3: Cross multiply
    8,965.31x = 13,448.03 × 3,121.90
  4. Step 4: Simplify right side
    8,965.31x = 41,983,355.63
  5. Step 5: Solve for x
    x = 41,983,355.63/8,965.31
  6. Step 6: Final answer
    x = 4,682.87

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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.