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Finding the Fourth Proportional to 7,892.64, 11,842.61 and 3,512.97

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Solution

The fourth proportional to 7,892.64, 11,842.61 and 3,512.97 is: 5,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.64 : 11,842.61 = 3,512.97 : x
  2. Step 2: Convert to fraction form
    7,892.64/11,842.61 = 3,512.97/x
  3. Step 3: Cross multiply
    7,892.64x = 11,842.61 × 3,512.97
  4. Step 4: Simplify right side
    7,892.64x = 41,602,716.09
  5. Step 5: Solve for x
    x = 41,602,716.09/7,892.64
  6. Step 6: Final answer
    x = 5,271.08

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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.