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Finding the Fourth Proportional to 2,791.71, 4,187.80 and 1,404.33

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Solution

The fourth proportional to 2,791.71, 4,187.80 and 1,404.33 is: 2,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.71 : 4,187.80 = 1,404.33 : x
  2. Step 2: Convert to fraction form
    2,791.71/4,187.80 = 1,404.33/x
  3. Step 3: Cross multiply
    2,791.71x = 4,187.80 × 1,404.33
  4. Step 4: Simplify right side
    2,791.71x = 5,881,053.17
  5. Step 5: Solve for x
    x = 5,881,053.17/2,791.71
  6. Step 6: Final answer
    x = 2,106.61

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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.