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Finding the Fourth Proportional to 9,119.64, 13,664.46 and 3,850.32

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Solution

The fourth proportional to 9,119.64, 13,664.46 and 3,850.32 is: 5,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.64 : 13,664.46 = 3,850.32 : x
  2. Step 2: Convert to fraction form
    9,119.64/13,664.46 = 3,850.32/x
  3. Step 3: Cross multiply
    9,119.64x = 13,664.46 × 3,850.32
  4. Step 4: Simplify right side
    9,119.64x = 52,612,543.63
  5. Step 5: Solve for x
    x = 52,612,543.63/9,119.64
  6. Step 6: Final answer
    x = 5,769.15

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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.