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Finding the Fourth Proportional to 9,845, 14,769.92 and 2,919.52

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Solution

The fourth proportional to 9,845, 14,769.92 and 2,919.52 is: 4,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845 : 14,769.92 = 2,919.52 : x
  2. Step 2: Convert to fraction form
    9,845/14,769.92 = 2,919.52/x
  3. Step 3: Cross multiply
    9,845x = 14,769.92 × 2,919.52
  4. Step 4: Simplify right side
    9,845x = 43,121,076.84
  5. Step 5: Solve for x
    x = 43,121,076.84/9,845
  6. Step 6: Final answer
    x = 4,380.00

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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.