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Finding the Fourth Proportional to 6,893.80, 9,514.50 and 3,909.94

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Solution

The fourth proportional to 6,893.80, 9,514.50 and 3,909.94 is: 5,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.80 : 9,514.50 = 3,909.94 : x
  2. Step 2: Convert to fraction form
    6,893.80/9,514.50 = 3,909.94/x
  3. Step 3: Cross multiply
    6,893.80x = 9,514.50 × 3,909.94
  4. Step 4: Simplify right side
    6,893.80x = 37,201,124.13
  5. Step 5: Solve for x
    x = 37,201,124.13/6,893.80
  6. Step 6: Final answer
    x = 5,396.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.