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Finding the Fourth Proportional to 2,051.67, 3,076.02 and 664.23

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Solution

The fourth proportional to 2,051.67, 3,076.02 and 664.23 is: 995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.67 : 3,076.02 = 664.23 : x
  2. Step 2: Convert to fraction form
    2,051.67/3,076.02 = 664.23/x
  3. Step 3: Cross multiply
    2,051.67x = 3,076.02 × 664.23
  4. Step 4: Simplify right side
    2,051.67x = 2,043,184.76
  5. Step 5: Solve for x
    x = 2,043,184.76/2,051.67
  6. Step 6: Final answer
    x = 995.86

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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.