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Finding the Fourth Proportional to 7,892.66, 11,842.50 and 4,194

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Solution

The fourth proportional to 7,892.66, 11,842.50 and 4,194 is: 6,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.66 : 11,842.50 = 4,194 : x
  2. Step 2: Convert to fraction form
    7,892.66/11,842.50 = 4,194/x
  3. Step 3: Cross multiply
    7,892.66x = 11,842.50 × 4,194
  4. Step 4: Simplify right side
    7,892.66x = 49,667,445
  5. Step 5: Solve for x
    x = 49,667,445/7,892.66
  6. Step 6: Final answer
    x = 6,292.87

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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.