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Finding the Fourth Proportional to 2,782.82, 4,173.26 and 933.54

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Solution

The fourth proportional to 2,782.82, 4,173.26 and 933.54 is: 1,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.82 : 4,173.26 = 933.54 : x
  2. Step 2: Convert to fraction form
    2,782.82/4,173.26 = 933.54/x
  3. Step 3: Cross multiply
    2,782.82x = 4,173.26 × 933.54
  4. Step 4: Simplify right side
    2,782.82x = 3,895,905.14
  5. Step 5: Solve for x
    x = 3,895,905.14/2,782.82
  6. Step 6: Final answer
    x = 1,399.98

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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.