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Finding the Fourth Proportional to 8,690.69, 13,035.84 and 2,116.91

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Solution

The fourth proportional to 8,690.69, 13,035.84 and 2,116.91 is: 3,175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.69 : 13,035.84 = 2,116.91 : x
  2. Step 2: Convert to fraction form
    8,690.69/13,035.84 = 2,116.91/x
  3. Step 3: Cross multiply
    8,690.69x = 13,035.84 × 2,116.91
  4. Step 4: Simplify right side
    8,690.69x = 27,595,634.88
  5. Step 5: Solve for x
    x = 27,595,634.88/8,690.69
  6. Step 6: Final answer
    x = 3,175.31

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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.