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Finding the Fourth Proportional to 6,893.69, 9,513.41 and 3,909.47

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Solution

The fourth proportional to 6,893.69, 9,513.41 and 3,909.47 is: 5,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.69 : 9,513.41 = 3,909.47 : x
  2. Step 2: Convert to fraction form
    6,893.69/9,513.41 = 3,909.47/x
  3. Step 3: Cross multiply
    6,893.69x = 9,513.41 × 3,909.47
  4. Step 4: Simplify right side
    6,893.69x = 37,192,323.88
  5. Step 5: Solve for x
    x = 37,192,323.88/6,893.69
  6. Step 6: Final answer
    x = 5,395.13

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1.5x scale

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.