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Finding the Fourth Proportional to 13,836.88, 19,098.96 and 7,871.88

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Solution

The fourth proportional to 13,836.88, 19,098.96 and 7,871.88 is: 10,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.88 : 19,098.96 = 7,871.88 : x
  2. Step 2: Convert to fraction form
    13,836.88/19,098.96 = 7,871.88/x
  3. Step 3: Cross multiply
    13,836.88x = 19,098.96 × 7,871.88
  4. Step 4: Simplify right side
    13,836.88x = 150,344,721.24
  5. Step 5: Solve for x
    x = 150,344,721.24/13,836.88
  6. Step 6: Final answer
    x = 10,865.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.