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Finding the Fourth Proportional to 3,751.43, 5,627.69 and 1,153.76

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Solution

The fourth proportional to 3,751.43, 5,627.69 and 1,153.76 is: 1,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.43 : 5,627.69 = 1,153.76 : x
  2. Step 2: Convert to fraction form
    3,751.43/5,627.69 = 1,153.76/x
  3. Step 3: Cross multiply
    3,751.43x = 5,627.69 × 1,153.76
  4. Step 4: Simplify right side
    3,751.43x = 6,492,997.85
  5. Step 5: Solve for x
    x = 6,492,997.85/3,751.43
  6. Step 6: Final answer
    x = 1,730.81

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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.