Home / 2,051.23-3,077.07-664.51

Finding the Fourth Proportional to 2,051.23, 3,077.07 and 664.51

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Solution

The fourth proportional to 2,051.23, 3,077.07 and 664.51 is: 996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.23 : 3,077.07 = 664.51 : x
  2. Step 2: Convert to fraction form
    2,051.23/3,077.07 = 664.51/x
  3. Step 3: Cross multiply
    2,051.23x = 3,077.07 × 664.51
  4. Step 4: Simplify right side
    2,051.23x = 2,044,743.79
  5. Step 5: Solve for x
    x = 2,044,743.79/2,051.23
  6. Step 6: Final answer
    x = 996.84

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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.