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Finding the Fourth Proportional to 3,449.78, 5,175.48 and 984.64

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Solution

The fourth proportional to 3,449.78, 5,175.48 and 984.64 is: 1,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.78 : 5,175.48 = 984.64 : x
  2. Step 2: Convert to fraction form
    3,449.78/5,175.48 = 984.64/x
  3. Step 3: Cross multiply
    3,449.78x = 5,175.48 × 984.64
  4. Step 4: Simplify right side
    3,449.78x = 5,095,971.69
  5. Step 5: Solve for x
    x = 5,095,971.69/3,449.78
  6. Step 6: Final answer
    x = 1,477.19

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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.