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Finding the Fourth Proportional to 2,936.86, 4,405.32 and 745.53

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Solution

The fourth proportional to 2,936.86, 4,405.32 and 745.53 is: 1,118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.86 : 4,405.32 = 745.53 : x
  2. Step 2: Convert to fraction form
    2,936.86/4,405.32 = 745.53/x
  3. Step 3: Cross multiply
    2,936.86x = 4,405.32 × 745.53
  4. Step 4: Simplify right side
    2,936.86x = 3,284,298.22
  5. Step 5: Solve for x
    x = 3,284,298.22/2,936.86
  6. Step 6: Final answer
    x = 1,118.30

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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.