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Finding the Fourth Proportional to 6,645.94, 9,175.08 and 3,994

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Solution

The fourth proportional to 6,645.94, 9,175.08 and 3,994 is: 5,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.94 : 9,175.08 = 3,994 : x
  2. Step 2: Convert to fraction form
    6,645.94/9,175.08 = 3,994/x
  3. Step 3: Cross multiply
    6,645.94x = 9,175.08 × 3,994
  4. Step 4: Simplify right side
    6,645.94x = 36,645,269.52
  5. Step 5: Solve for x
    x = 36,645,269.52/6,645.94
  6. Step 6: Final answer
    x = 5,513.93

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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.