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Finding the Fourth Proportional to 6,172, 8,517.54 and 3,377.68

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Solution

The fourth proportional to 6,172, 8,517.54 and 3,377.68 is: 4,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172 : 8,517.54 = 3,377.68 : x
  2. Step 2: Convert to fraction form
    6,172/8,517.54 = 3,377.68/x
  3. Step 3: Cross multiply
    6,172x = 8,517.54 × 3,377.68
  4. Step 4: Simplify right side
    6,172x = 28,769,524.51
  5. Step 5: Solve for x
    x = 28,769,524.51/6,172
  6. Step 6: Final answer
    x = 4,661.30

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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.