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Finding the Fourth Proportional to 3,855.33, 5,782.94 and 933.61

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Solution

The fourth proportional to 3,855.33, 5,782.94 and 933.61 is: 1,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.33 : 5,782.94 = 933.61 : x
  2. Step 2: Convert to fraction form
    3,855.33/5,782.94 = 933.61/x
  3. Step 3: Cross multiply
    3,855.33x = 5,782.94 × 933.61
  4. Step 4: Simplify right side
    3,855.33x = 5,399,011.08
  5. Step 5: Solve for x
    x = 5,399,011.08/3,855.33
  6. Step 6: Final answer
    x = 1,400.40

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1.5x scale

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.