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Finding the Fourth Proportional to 2,106.97, 3,160.44 and 546.97

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Solution

The fourth proportional to 2,106.97, 3,160.44 and 546.97 is: 820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.97 : 3,160.44 = 546.97 : x
  2. Step 2: Convert to fraction form
    2,106.97/3,160.44 = 546.97/x
  3. Step 3: Cross multiply
    2,106.97x = 3,160.44 × 546.97
  4. Step 4: Simplify right side
    2,106.97x = 1,728,665.87
  5. Step 5: Solve for x
    x = 1,728,665.87/2,106.97
  6. Step 6: Final answer
    x = 820.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.