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Finding the Fourth Proportional to 13,672.88, 20,461.80 and 11,815.28

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Solution

The fourth proportional to 13,672.88, 20,461.80 and 11,815.28 is: 17,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.88 : 20,461.80 = 11,815.28 : x
  2. Step 2: Convert to fraction form
    13,672.88/20,461.80 = 11,815.28/x
  3. Step 3: Cross multiply
    13,672.88x = 20,461.80 × 11,815.28
  4. Step 4: Simplify right side
    13,672.88x = 241,761,896.30
  5. Step 5: Solve for x
    x = 241,761,896.30/13,672.88
  6. Step 6: Final answer
    x = 17,681.86

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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.