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Finding the Fourth Proportional to 3,051.62, 4,577.43 and 743.12

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Solution

The fourth proportional to 3,051.62, 4,577.43 and 743.12 is: 1,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.62 : 4,577.43 = 743.12 : x
  2. Step 2: Convert to fraction form
    3,051.62/4,577.43 = 743.12/x
  3. Step 3: Cross multiply
    3,051.62x = 4,577.43 × 743.12
  4. Step 4: Simplify right side
    3,051.62x = 3,401,556.89
  5. Step 5: Solve for x
    x = 3,401,556.89/3,051.62
  6. Step 6: Final answer
    x = 1,114.67

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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.