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Finding the Fourth Proportional to 3,415.72, 4,712.94 and 2,173

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Solution

The fourth proportional to 3,415.72, 4,712.94 and 2,173 is: 2,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.72 : 4,712.94 = 2,173 : x
  2. Step 2: Convert to fraction form
    3,415.72/4,712.94 = 2,173/x
  3. Step 3: Cross multiply
    3,415.72x = 4,712.94 × 2,173
  4. Step 4: Simplify right side
    3,415.72x = 10,241,218.62
  5. Step 5: Solve for x
    x = 10,241,218.62/3,415.72
  6. Step 6: Final answer
    x = 2,998.26

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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.