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Finding the Fourth Proportional to 2,693.28, 4,039.93 and 745.49

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Solution

The fourth proportional to 2,693.28, 4,039.93 and 745.49 is: 1,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.28 : 4,039.93 = 745.49 : x
  2. Step 2: Convert to fraction form
    2,693.28/4,039.93 = 745.49/x
  3. Step 3: Cross multiply
    2,693.28x = 4,039.93 × 745.49
  4. Step 4: Simplify right side
    2,693.28x = 3,011,738.45
  5. Step 5: Solve for x
    x = 3,011,738.45/2,693.28
  6. Step 6: Final answer
    x = 1,118.24

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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.