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Finding the Fourth Proportional to 2,559.93, 3,839.90 and 711.51

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Solution

The fourth proportional to 2,559.93, 3,839.90 and 711.51 is: 1,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.93 : 3,839.90 = 711.51 : x
  2. Step 2: Convert to fraction form
    2,559.93/3,839.90 = 711.51/x
  3. Step 3: Cross multiply
    2,559.93x = 3,839.90 × 711.51
  4. Step 4: Simplify right side
    2,559.93x = 2,732,127.25
  5. Step 5: Solve for x
    x = 2,732,127.25/2,559.93
  6. Step 6: Final answer
    x = 1,067.27

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Similar ratio
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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.