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Finding the Fourth Proportional to 2,051.66, 3,077.84 and 664.83

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Solution

The fourth proportional to 2,051.66, 3,077.84 and 664.83 is: 997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.66 : 3,077.84 = 664.83 : x
  2. Step 2: Convert to fraction form
    2,051.66/3,077.84 = 664.83/x
  3. Step 3: Cross multiply
    2,051.66x = 3,077.84 × 664.83
  4. Step 4: Simplify right side
    2,051.66x = 2,046,242.03
  5. Step 5: Solve for x
    x = 2,046,242.03/2,051.66
  6. Step 6: Final answer
    x = 997.36

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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.