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Finding the Fourth Proportional to 2,933.55, 4,400.33 and 742.28

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Solution

The fourth proportional to 2,933.55, 4,400.33 and 742.28 is: 1,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.55 : 4,400.33 = 742.28 : x
  2. Step 2: Convert to fraction form
    2,933.55/4,400.33 = 742.28/x
  3. Step 3: Cross multiply
    2,933.55x = 4,400.33 × 742.28
  4. Step 4: Simplify right side
    2,933.55x = 3,266,282.25
  5. Step 5: Solve for x
    x = 3,266,282.25/2,933.55
  6. Step 6: Final answer
    x = 1,113.42

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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.