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Finding the Fourth Proportional to 3,242.43, 4,864.37 and 933.75

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Solution

The fourth proportional to 3,242.43, 4,864.37 and 933.75 is: 1,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.43 : 4,864.37 = 933.75 : x
  2. Step 2: Convert to fraction form
    3,242.43/4,864.37 = 933.75/x
  3. Step 3: Cross multiply
    3,242.43x = 4,864.37 × 933.75
  4. Step 4: Simplify right side
    3,242.43x = 4,542,100.82
  5. Step 5: Solve for x
    x = 4,542,100.82/3,242.43
  6. Step 6: Final answer
    x = 1,400.83

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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.