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Finding the Fourth Proportional to 13,207.80, 19,826.10 and 7,375.80

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Solution

The fourth proportional to 13,207.80, 19,826.10 and 7,375.80 is: 11,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.80 : 19,826.10 = 7,375.80 : x
  2. Step 2: Convert to fraction form
    13,207.80/19,826.10 = 7,375.80/x
  3. Step 3: Cross multiply
    13,207.80x = 19,826.10 × 7,375.80
  4. Step 4: Simplify right side
    13,207.80x = 146,233,348.38
  5. Step 5: Solve for x
    x = 146,233,348.38/13,207.80
  6. Step 6: Final answer
    x = 11,071.74

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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.