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Finding the Fourth Proportional to 3,854.95, 5,782.41 and 933.26

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Solution

The fourth proportional to 3,854.95, 5,782.41 and 933.26 is: 1,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.95 : 5,782.41 = 933.26 : x
  2. Step 2: Convert to fraction form
    3,854.95/5,782.41 = 933.26/x
  3. Step 3: Cross multiply
    3,854.95x = 5,782.41 × 933.26
  4. Step 4: Simplify right side
    3,854.95x = 5,396,490.06
  5. Step 5: Solve for x
    x = 5,396,490.06/3,854.95
  6. Step 6: Final answer
    x = 1,399.88

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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.