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Finding the Fourth Proportional to 2,034.33, 3,051.36 and 648.66

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Solution

The fourth proportional to 2,034.33, 3,051.36 and 648.66 is: 972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.33 : 3,051.36 = 648.66 : x
  2. Step 2: Convert to fraction form
    2,034.33/3,051.36 = 648.66/x
  3. Step 3: Cross multiply
    2,034.33x = 3,051.36 × 648.66
  4. Step 4: Simplify right side
    2,034.33x = 1,979,285.93
  5. Step 5: Solve for x
    x = 1,979,285.93/2,034.33
  6. Step 6: Final answer
    x = 972.94

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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.