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Finding the Fourth Proportional to 2,782.77, 4,174.03 and 933.75

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Solution

The fourth proportional to 2,782.77, 4,174.03 and 933.75 is: 1,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.77 : 4,174.03 = 933.75 : x
  2. Step 2: Convert to fraction form
    2,782.77/4,174.03 = 933.75/x
  3. Step 3: Cross multiply
    2,782.77x = 4,174.03 × 933.75
  4. Step 4: Simplify right side
    2,782.77x = 3,897,474.97
  5. Step 5: Solve for x
    x = 3,897,474.97/2,782.77
  6. Step 6: Final answer
    x = 1,400.57

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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.