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Finding the Fourth Proportional to 3,051.99, 4,578 and 743.49

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Solution

The fourth proportional to 3,051.99, 4,578 and 743.49 is: 1,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.99 : 4,578 = 743.49 : x
  2. Step 2: Convert to fraction form
    3,051.99/4,578 = 743.49/x
  3. Step 3: Cross multiply
    3,051.99x = 4,578 × 743.49
  4. Step 4: Simplify right side
    3,051.99x = 3,403,697.22
  5. Step 5: Solve for x
    x = 3,403,697.22/3,051.99
  6. Step 6: Final answer
    x = 1,115.24

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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.