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Finding the Fourth Proportional to 2,106.56, 3,160.02 and 546.54

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Solution

The fourth proportional to 2,106.56, 3,160.02 and 546.54 is: 819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.56 : 3,160.02 = 546.54 : x
  2. Step 2: Convert to fraction form
    2,106.56/3,160.02 = 546.54/x
  3. Step 3: Cross multiply
    2,106.56x = 3,160.02 × 546.54
  4. Step 4: Simplify right side
    2,106.56x = 1,727,077.33
  5. Step 5: Solve for x
    x = 1,727,077.33/2,106.56
  6. Step 6: Final answer
    x = 819.86

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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.