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Finding the Fourth Proportional to 2,693, 4,039.02 and 745.36

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Solution

The fourth proportional to 2,693, 4,039.02 and 745.36 is: 1,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693 : 4,039.02 = 745.36 : x
  2. Step 2: Convert to fraction form
    2,693/4,039.02 = 745.36/x
  3. Step 3: Cross multiply
    2,693x = 4,039.02 × 745.36
  4. Step 4: Simplify right side
    2,693x = 3,010,523.95
  5. Step 5: Solve for x
    x = 3,010,523.95/2,693
  6. Step 6: Final answer
    x = 1,117.91

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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.