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Finding the Fourth Proportional to 2,051.00, 3,076.80 and 663.87

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Solution

The fourth proportional to 2,051.00, 3,076.80 and 663.87 is: 995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.00 : 3,076.80 = 663.87 : x
  2. Step 2: Convert to fraction form
    2,051.00/3,076.80 = 663.87/x
  3. Step 3: Cross multiply
    2,051.00x = 3,076.80 × 663.87
  4. Step 4: Simplify right side
    2,051.00x = 2,042,595.22
  5. Step 5: Solve for x
    x = 2,042,595.22/2,051.00
  6. Step 6: Final answer
    x = 995.90

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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.