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Finding the Fourth Proportional to 3,720, 5,143.20 and 3,556.80

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Solution

The fourth proportional to 3,720, 5,143.20 and 3,556.80 is: 4,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,143.20 = 3,556.80 : x
  2. Step 2: Convert to fraction form
    3,720/5,143.20 = 3,556.80/x
  3. Step 3: Cross multiply
    3,720x = 5,143.20 × 3,556.80
  4. Step 4: Simplify right side
    3,720x = 18,293,333.76
  5. Step 5: Solve for x
    x = 18,293,333.76/3,720
  6. Step 6: Final answer
    x = 4,917.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.