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Finding the Fourth Proportional to 13,254.56, 19,876.92 and 3,892

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Solution

The fourth proportional to 13,254.56, 19,876.92 and 3,892 is: 5,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254.56 : 19,876.92 = 3,892 : x
  2. Step 2: Convert to fraction form
    13,254.56/19,876.92 = 3,892/x
  3. Step 3: Cross multiply
    13,254.56x = 19,876.92 × 3,892
  4. Step 4: Simplify right side
    13,254.56x = 77,360,972.64
  5. Step 5: Solve for x
    x = 77,360,972.64/13,254.56
  6. Step 6: Final answer
    x = 5,836.56

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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.