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Finding the Fourth Proportional to 8,954.10, 13,431.41 and 4,274.61

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Solution

The fourth proportional to 8,954.10, 13,431.41 and 4,274.61 is: 6,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,954.10 : 13,431.41 = 4,274.61 : x
  2. Step 2: Convert to fraction form
    8,954.10/13,431.41 = 4,274.61/x
  3. Step 3: Cross multiply
    8,954.10x = 13,431.41 × 4,274.61
  4. Step 4: Simplify right side
    8,954.10x = 57,414,039.50
  5. Step 5: Solve for x
    x = 57,414,039.50/8,954.10
  6. Step 6: Final answer
    x = 6,412.04

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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.