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Finding the Fourth Proportional to 2,933.69, 4,400.35 and 742.43

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Solution

The fourth proportional to 2,933.69, 4,400.35 and 742.43 is: 1,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,933.69 : 4,400.35 = 742.43 : x
  2. Step 2: Convert to fraction form
    2,933.69/4,400.35 = 742.43/x
  3. Step 3: Cross multiply
    2,933.69x = 4,400.35 × 742.43
  4. Step 4: Simplify right side
    2,933.69x = 3,266,961.00
  5. Step 5: Solve for x
    x = 3,266,961.00/2,933.69
  6. Step 6: Final answer
    x = 1,113.60

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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.