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Finding the Fourth Proportional to 2,051.61, 3,076.77 and 664.63

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Solution

The fourth proportional to 2,051.61, 3,076.77 and 664.63 is: 996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.61 : 3,076.77 = 664.63 : x
  2. Step 2: Convert to fraction form
    2,051.61/3,076.77 = 664.63/x
  3. Step 3: Cross multiply
    2,051.61x = 3,076.77 × 664.63
  4. Step 4: Simplify right side
    2,051.61x = 2,044,908.45
  5. Step 5: Solve for x
    x = 2,044,908.45/2,051.61
  6. Step 6: Final answer
    x = 996.73

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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.