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Finding the Fourth Proportional to 8,713.76, 13,063.29 and 3,779.69

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Solution

The fourth proportional to 8,713.76, 13,063.29 and 3,779.69 is: 5,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.76 : 13,063.29 = 3,779.69 : x
  2. Step 2: Convert to fraction form
    8,713.76/13,063.29 = 3,779.69/x
  3. Step 3: Cross multiply
    8,713.76x = 13,063.29 × 3,779.69
  4. Step 4: Simplify right side
    8,713.76x = 49,375,121.26
  5. Step 5: Solve for x
    x = 49,375,121.26/8,713.76
  6. Step 6: Final answer
    x = 5,666.34

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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.