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Finding the Fourth Proportional to 8,675.71, 13,011.61 and 3,991.22

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Solution

The fourth proportional to 8,675.71, 13,011.61 and 3,991.22 is: 5,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,675.71 : 13,011.61 = 3,991.22 : x
  2. Step 2: Convert to fraction form
    8,675.71/13,011.61 = 3,991.22/x
  3. Step 3: Cross multiply
    8,675.71x = 13,011.61 × 3,991.22
  4. Step 4: Simplify right side
    8,675.71x = 51,932,198.06
  5. Step 5: Solve for x
    x = 51,932,198.06/8,675.71
  6. Step 6: Final answer
    x = 5,985.93

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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.