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Finding the Fourth Proportional to 3,854.95, 5,782.40 and 933.24

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Solution

The fourth proportional to 3,854.95, 5,782.40 and 933.24 is: 1,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.95 : 5,782.40 = 933.24 : x
  2. Step 2: Convert to fraction form
    3,854.95/5,782.40 = 933.24/x
  3. Step 3: Cross multiply
    3,854.95x = 5,782.40 × 933.24
  4. Step 4: Simplify right side
    3,854.95x = 5,396,366.98
  5. Step 5: Solve for x
    x = 5,396,366.98/3,854.95
  6. Step 6: Final answer
    x = 1,399.85

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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.